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Finding the Fourth Proportional to 15,602, 21,530.76 and 8,981.84

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Solution

The fourth proportional to 15,602, 21,530.76 and 8,981.84 is: 12,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602 : 21,530.76 = 8,981.84 : x
  2. Step 2: Convert to fraction form
    15,602/21,530.76 = 8,981.84/x
  3. Step 3: Cross multiply
    15,602x = 21,530.76 × 8,981.84
  4. Step 4: Simplify right side
    15,602x = 193,385,841.40
  5. Step 5: Solve for x
    x = 193,385,841.40/15,602
  6. Step 6: Final answer
    x = 12,394.94

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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.