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Finding the Fourth Proportional to 6,411.90, 9,605.30 and 5,715.30

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Solution

The fourth proportional to 6,411.90, 9,605.30 and 5,715.30 is: 8,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.90 : 9,605.30 = 5,715.30 : x
  2. Step 2: Convert to fraction form
    6,411.90/9,605.30 = 5,715.30/x
  3. Step 3: Cross multiply
    6,411.90x = 9,605.30 × 5,715.30
  4. Step 4: Simplify right side
    6,411.90x = 54,897,142.51
  5. Step 5: Solve for x
    x = 54,897,142.51/6,411.90
  6. Step 6: Final answer
    x = 8,561.76

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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.