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Finding the Fourth Proportional to 6,523.10, 9,784.65 and 5,428.70

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Solution

The fourth proportional to 6,523.10, 9,784.65 and 5,428.70 is: 8,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.10 : 9,784.65 = 5,428.70 : x
  2. Step 2: Convert to fraction form
    6,523.10/9,784.65 = 5,428.70/x
  3. Step 3: Cross multiply
    6,523.10x = 9,784.65 × 5,428.70
  4. Step 4: Simplify right side
    6,523.10x = 53,117,929.46
  5. Step 5: Solve for x
    x = 53,117,929.46/6,523.10
  6. Step 6: Final answer
    x = 8,143.05

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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.