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Finding the Fourth Proportional to 2,387.71, 3,580.08 and 926.53

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Solution

The fourth proportional to 2,387.71, 3,580.08 and 926.53 is: 1,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.71 : 3,580.08 = 926.53 : x
  2. Step 2: Convert to fraction form
    2,387.71/3,580.08 = 926.53/x
  3. Step 3: Cross multiply
    2,387.71x = 3,580.08 × 926.53
  4. Step 4: Simplify right side
    2,387.71x = 3,317,051.52
  5. Step 5: Solve for x
    x = 3,317,051.52/2,387.71
  6. Step 6: Final answer
    x = 1,389.22

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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.