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Finding the Fourth Proportional to 9,897.68, 13,657.17 and 5,648.75

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Solution

The fourth proportional to 9,897.68, 13,657.17 and 5,648.75 is: 7,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.68 : 13,657.17 = 5,648.75 : x
  2. Step 2: Convert to fraction form
    9,897.68/13,657.17 = 5,648.75/x
  3. Step 3: Cross multiply
    9,897.68x = 13,657.17 × 5,648.75
  4. Step 4: Simplify right side
    9,897.68x = 77,146,019.97
  5. Step 5: Solve for x
    x = 77,146,019.97/9,897.68
  6. Step 6: Final answer
    x = 7,794.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.