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Finding the Fourth Proportional to 13,587, 18,781.46 and 11,335.76

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Solution

The fourth proportional to 13,587, 18,781.46 and 11,335.76 is: 15,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587 : 18,781.46 = 11,335.76 : x
  2. Step 2: Convert to fraction form
    13,587/18,781.46 = 11,335.76/x
  3. Step 3: Cross multiply
    13,587x = 18,781.46 × 11,335.76
  4. Step 4: Simplify right side
    13,587x = 212,902,123.01
  5. Step 5: Solve for x
    x = 212,902,123.01/13,587
  6. Step 6: Final answer
    x = 15,669.55

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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.