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Finding the Fourth Proportional to 9,975.40, 14,963.10 and 6,476.20

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Solution

The fourth proportional to 9,975.40, 14,963.10 and 6,476.20 is: 9,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.40 : 14,963.10 = 6,476.20 : x
  2. Step 2: Convert to fraction form
    9,975.40/14,963.10 = 6,476.20/x
  3. Step 3: Cross multiply
    9,975.40x = 14,963.10 × 6,476.20
  4. Step 4: Simplify right side
    9,975.40x = 96,904,028.22
  5. Step 5: Solve for x
    x = 96,904,028.22/9,975.40
  6. Step 6: Final answer
    x = 9,714.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.