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Finding the Fourth Proportional to 38,115, 52,598.70 and 21,353.40

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Solution

The fourth proportional to 38,115, 52,598.70 and 21,353.40 is: 29,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115 : 52,598.70 = 21,353.40 : x
  2. Step 2: Convert to fraction form
    38,115/52,598.70 = 21,353.40/x
  3. Step 3: Cross multiply
    38,115x = 52,598.70 × 21,353.40
  4. Step 4: Simplify right side
    38,115x = 1,123,161,080.58
  5. Step 5: Solve for x
    x = 1,123,161,080.58/38,115
  6. Step 6: Final answer
    x = 29,467.69

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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.