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Finding the Fourth Proportional to 15,352, 21,186 and 9,770.56

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Solution

The fourth proportional to 15,352, 21,186 and 9,770.56 is: 13,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,352 : 21,186 = 9,770.56 : x
  2. Step 2: Convert to fraction form
    15,352/21,186 = 9,770.56/x
  3. Step 3: Cross multiply
    15,352x = 21,186 × 9,770.56
  4. Step 4: Simplify right side
    15,352x = 206,999,084.16
  5. Step 5: Solve for x
    x = 206,999,084.16/15,352
  6. Step 6: Final answer
    x = 13,483.53

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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.