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Finding the Fourth Proportional to 38,706.78, 53,416.31 and 21,712.77

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Solution

The fourth proportional to 38,706.78, 53,416.31 and 21,712.77 is: 29,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.78 : 53,416.31 = 21,712.77 : x
  2. Step 2: Convert to fraction form
    38,706.78/53,416.31 = 21,712.77/x
  3. Step 3: Cross multiply
    38,706.78x = 53,416.31 × 21,712.77
  4. Step 4: Simplify right side
    38,706.78x = 1,159,815,944.71
  5. Step 5: Solve for x
    x = 1,159,815,944.71/38,706.78
  6. Step 6: Final answer
    x = 29,964.15

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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.