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Finding the Fourth Proportional to 9,987.53, 13,787.78 and 6,211.91

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Solution

The fourth proportional to 9,987.53, 13,787.78 and 6,211.91 is: 8,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.53 : 13,787.78 = 6,211.91 : x
  2. Step 2: Convert to fraction form
    9,987.53/13,787.78 = 6,211.91/x
  3. Step 3: Cross multiply
    9,987.53x = 13,787.78 × 6,211.91
  4. Step 4: Simplify right side
    9,987.53x = 85,648,448.46
  5. Step 5: Solve for x
    x = 85,648,448.46/9,987.53
  6. Step 6: Final answer
    x = 8,575.54

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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.