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Finding the Fourth Proportional to 11,587.98, 15,988.71 and 7,818.13

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Solution

The fourth proportional to 11,587.98, 15,988.71 and 7,818.13 is: 10,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.98 : 15,988.71 = 7,818.13 : x
  2. Step 2: Convert to fraction form
    11,587.98/15,988.71 = 7,818.13/x
  3. Step 3: Cross multiply
    11,587.98x = 15,988.71 × 7,818.13
  4. Step 4: Simplify right side
    11,587.98x = 125,001,813.31
  5. Step 5: Solve for x
    x = 125,001,813.31/11,587.98
  6. Step 6: Final answer
    x = 10,787.20

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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.