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Finding the Fourth Proportional to 2,572.41, 3,857.70 and 928.53

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Solution

The fourth proportional to 2,572.41, 3,857.70 and 928.53 is: 1,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.41 : 3,857.70 = 928.53 : x
  2. Step 2: Convert to fraction form
    2,572.41/3,857.70 = 928.53/x
  3. Step 3: Cross multiply
    2,572.41x = 3,857.70 × 928.53
  4. Step 4: Simplify right side
    2,572.41x = 3,581,990.18
  5. Step 5: Solve for x
    x = 3,581,990.18/2,572.41
  6. Step 6: Final answer
    x = 1,392.46

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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.