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Finding the Fourth Proportional to 52,080.88, 71,871.24 and 28,207

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Solution

The fourth proportional to 52,080.88, 71,871.24 and 28,207 is: 38,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080.88 : 71,871.24 = 28,207 : x
  2. Step 2: Convert to fraction form
    52,080.88/71,871.24 = 28,207/x
  3. Step 3: Cross multiply
    52,080.88x = 71,871.24 × 28,207
  4. Step 4: Simplify right side
    52,080.88x = 2,027,272,066.68
  5. Step 5: Solve for x
    x = 2,027,272,066.68/52,080.88
  6. Step 6: Final answer
    x = 38,925.46

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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.