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Finding the Fourth Proportional to 38,008.40, 57,038.40 and 13,384.40

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Solution

The fourth proportional to 38,008.40, 57,038.40 and 13,384.40 is: 20,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008.40 : 57,038.40 = 13,384.40 : x
  2. Step 2: Convert to fraction form
    38,008.40/57,038.40 = 13,384.40/x
  3. Step 3: Cross multiply
    38,008.40x = 57,038.40 × 13,384.40
  4. Step 4: Simplify right side
    38,008.40x = 763,424,760.96
  5. Step 5: Solve for x
    x = 763,424,760.96/38,008.40
  6. Step 6: Final answer
    x = 20,085.69

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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.