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Finding the Fourth Proportional to 9,897.80, 14,817.54 and 7,312.28

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Solution

The fourth proportional to 9,897.80, 14,817.54 and 7,312.28 is: 10,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.80 : 14,817.54 = 7,312.28 : x
  2. Step 2: Convert to fraction form
    9,897.80/14,817.54 = 7,312.28/x
  3. Step 3: Cross multiply
    9,897.80x = 14,817.54 × 7,312.28
  4. Step 4: Simplify right side
    9,897.80x = 108,350,001.39
  5. Step 5: Solve for x
    x = 108,350,001.39/9,897.80
  6. Step 6: Final answer
    x = 10,946.88

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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.