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Finding the Fourth Proportional to 9,931.40, 14,897.10 and 6,813.80

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Solution

The fourth proportional to 9,931.40, 14,897.10 and 6,813.80 is: 10,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.40 : 14,897.10 = 6,813.80 : x
  2. Step 2: Convert to fraction form
    9,931.40/14,897.10 = 6,813.80/x
  3. Step 3: Cross multiply
    9,931.40x = 14,897.10 × 6,813.80
  4. Step 4: Simplify right side
    9,931.40x = 101,505,859.98
  5. Step 5: Solve for x
    x = 101,505,859.98/9,931.40
  6. Step 6: Final answer
    x = 10,220.70

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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.