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Finding the Fourth Proportional to 15,526, 21,427.32 and 8,902

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Solution

The fourth proportional to 15,526, 21,427.32 and 8,902 is: 12,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,526 : 21,427.32 = 8,902 : x
  2. Step 2: Convert to fraction form
    15,526/21,427.32 = 8,902/x
  3. Step 3: Cross multiply
    15,526x = 21,427.32 × 8,902
  4. Step 4: Simplify right side
    15,526x = 190,746,002.64
  5. Step 5: Solve for x
    x = 190,746,002.64/15,526
  6. Step 6: Final answer
    x = 12,285.59

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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.