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Finding the Fourth Proportional to 28,290.42, 42,371.02 and 13,509.74

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Solution

The fourth proportional to 28,290.42, 42,371.02 and 13,509.74 is: 20,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,290.42 : 42,371.02 = 13,509.74 : x
  2. Step 2: Convert to fraction form
    28,290.42/42,371.02 = 13,509.74/x
  3. Step 3: Cross multiply
    28,290.42x = 42,371.02 × 13,509.74
  4. Step 4: Simplify right side
    28,290.42x = 572,421,463.73
  5. Step 5: Solve for x
    x = 572,421,463.73/28,290.42
  6. Step 6: Final answer
    x = 20,233.76

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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.