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Finding the Fourth Proportional to 6,505.38, 9,710.99 and 5,717.18

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Solution

The fourth proportional to 6,505.38, 9,710.99 and 5,717.18 is: 8,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.38 : 9,710.99 = 5,717.18 : x
  2. Step 2: Convert to fraction form
    6,505.38/9,710.99 = 5,717.18/x
  3. Step 3: Cross multiply
    6,505.38x = 9,710.99 × 5,717.18
  4. Step 4: Simplify right side
    6,505.38x = 55,519,494.94
  5. Step 5: Solve for x
    x = 55,519,494.94/6,505.38
  6. Step 6: Final answer
    x = 8,534.40

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1.5x scale

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.