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Finding the Fourth Proportional to 9,315.38, 13,972.11 and 5,842.10

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Solution

The fourth proportional to 9,315.38, 13,972.11 and 5,842.10 is: 8,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.38 : 13,972.11 = 5,842.10 : x
  2. Step 2: Convert to fraction form
    9,315.38/13,972.11 = 5,842.10/x
  3. Step 3: Cross multiply
    9,315.38x = 13,972.11 × 5,842.10
  4. Step 4: Simplify right side
    9,315.38x = 81,626,463.83
  5. Step 5: Solve for x
    x = 81,626,463.83/9,315.38
  6. Step 6: Final answer
    x = 8,762.55

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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.