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Finding the Fourth Proportional to 9,931.86, 14,897.79 and 5,314.86

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Solution

The fourth proportional to 9,931.86, 14,897.79 and 5,314.86 is: 7,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.86 : 14,897.79 = 5,314.86 : x
  2. Step 2: Convert to fraction form
    9,931.86/14,897.79 = 5,314.86/x
  3. Step 3: Cross multiply
    9,931.86x = 14,897.79 × 5,314.86
  4. Step 4: Simplify right side
    9,931.86x = 79,179,668.16
  5. Step 5: Solve for x
    x = 79,179,668.16/9,931.86
  6. Step 6: Final answer
    x = 7,972.29

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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.