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Finding the Fourth Proportional to 9,411.21, 12,987 and 5,432.09

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Solution

The fourth proportional to 9,411.21, 12,987 and 5,432.09 is: 7,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.21 : 12,987 = 5,432.09 : x
  2. Step 2: Convert to fraction form
    9,411.21/12,987 = 5,432.09/x
  3. Step 3: Cross multiply
    9,411.21x = 12,987 × 5,432.09
  4. Step 4: Simplify right side
    9,411.21x = 70,546,487.90
  5. Step 5: Solve for x
    x = 70,546,487.90/9,411.21
  6. Step 6: Final answer
    x = 7,496.01

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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.