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Finding the Fourth Proportional to 52,153.92, 71,971.88 and 28,280.39

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Solution

The fourth proportional to 52,153.92, 71,971.88 and 28,280.39 is: 39,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,153.92 : 71,971.88 = 28,280.39 : x
  2. Step 2: Convert to fraction form
    52,153.92/71,971.88 = 28,280.39/x
  3. Step 3: Cross multiply
    52,153.92x = 71,971.88 × 28,280.39
  4. Step 4: Simplify right side
    52,153.92x = 2,035,392,334.17
  5. Step 5: Solve for x
    x = 2,035,392,334.17/52,153.92
  6. Step 6: Final answer
    x = 39,026.64

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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.