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Finding the Fourth Proportional to 38,389, 57,590.64 and 13,428.46

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Solution

The fourth proportional to 38,389, 57,590.64 and 13,428.46 is: 20,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,389 : 57,590.64 = 13,428.46 : x
  2. Step 2: Convert to fraction form
    38,389/57,590.64 = 13,428.46/x
  3. Step 3: Cross multiply
    38,389x = 57,590.64 × 13,428.46
  4. Step 4: Simplify right side
    38,389x = 773,353,605.61
  5. Step 5: Solve for x
    x = 773,353,605.61/38,389
  6. Step 6: Final answer
    x = 20,145.19

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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.