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Finding the Fourth Proportional to 18,280.56, 25,227.06 and 9,897

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Solution

The fourth proportional to 18,280.56, 25,227.06 and 9,897 is: 13,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.56 : 25,227.06 = 9,897 : x
  2. Step 2: Convert to fraction form
    18,280.56/25,227.06 = 9,897/x
  3. Step 3: Cross multiply
    18,280.56x = 25,227.06 × 9,897
  4. Step 4: Simplify right side
    18,280.56x = 249,672,212.82
  5. Step 5: Solve for x
    x = 249,672,212.82/18,280.56
  6. Step 6: Final answer
    x = 13,657.80

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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.