Home / 1,387.28-2,083.95-1,024.40

Finding the Fourth Proportional to 1,387.28, 2,083.95 and 1,024.40

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Solution

The fourth proportional to 1,387.28, 2,083.95 and 1,024.40 is: 1,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.28 : 2,083.95 = 1,024.40 : x
  2. Step 2: Convert to fraction form
    1,387.28/2,083.95 = 1,024.40/x
  3. Step 3: Cross multiply
    1,387.28x = 2,083.95 × 1,024.40
  4. Step 4: Simplify right side
    1,387.28x = 2,134,798.38
  5. Step 5: Solve for x
    x = 2,134,798.38/1,387.28
  6. Step 6: Final answer
    x = 1,538.84

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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.