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Finding the Fourth Proportional to 4,661.60, 6,961.72 and 4,047.20

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Solution

The fourth proportional to 4,661.60, 6,961.72 and 4,047.20 is: 6,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.60 : 6,961.72 = 4,047.20 : x
  2. Step 2: Convert to fraction form
    4,661.60/6,961.72 = 4,047.20/x
  3. Step 3: Cross multiply
    4,661.60x = 6,961.72 × 4,047.20
  4. Step 4: Simplify right side
    4,661.60x = 28,175,473.18
  5. Step 5: Solve for x
    x = 28,175,473.18/4,661.60
  6. Step 6: Final answer
    x = 6,044.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.