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Finding the Fourth Proportional to 21,532.64, 32,279.40 and 7,678.40

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Solution

The fourth proportional to 21,532.64, 32,279.40 and 7,678.40 is: 11,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.64 : 32,279.40 = 7,678.40 : x
  2. Step 2: Convert to fraction form
    21,532.64/32,279.40 = 7,678.40/x
  3. Step 3: Cross multiply
    21,532.64x = 32,279.40 × 7,678.40
  4. Step 4: Simplify right side
    21,532.64x = 247,854,144.96
  5. Step 5: Solve for x
    x = 247,854,144.96/21,532.64
  6. Step 6: Final answer
    x = 11,510.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.