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Finding the Fourth Proportional to 28,494.64, 42,712.80 and 13,706.20

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Solution

The fourth proportional to 28,494.64, 42,712.80 and 13,706.20 is: 20,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,494.64 : 42,712.80 = 13,706.20 : x
  2. Step 2: Convert to fraction form
    28,494.64/42,712.80 = 13,706.20/x
  3. Step 3: Cross multiply
    28,494.64x = 42,712.80 × 13,706.20
  4. Step 4: Simplify right side
    28,494.64x = 585,430,179.36
  5. Step 5: Solve for x
    x = 585,430,179.36/28,494.64
  6. Step 6: Final answer
    x = 20,545.27

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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.