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Finding the Fourth Proportional to 10,571.40, 15,831.18 and 7,098.12

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Solution

The fourth proportional to 10,571.40, 15,831.18 and 7,098.12 is: 10,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.40 : 15,831.18 = 7,098.12 : x
  2. Step 2: Convert to fraction form
    10,571.40/15,831.18 = 7,098.12/x
  3. Step 3: Cross multiply
    10,571.40x = 15,831.18 × 7,098.12
  4. Step 4: Simplify right side
    10,571.40x = 112,371,615.38
  5. Step 5: Solve for x
    x = 112,371,615.38/10,571.40
  6. Step 6: Final answer
    x = 10,629.78

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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.