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Finding the Fourth Proportional to 1,542.55, 2,309.28 and 993.10

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Solution

The fourth proportional to 1,542.55, 2,309.28 and 993.10 is: 1,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.55 : 2,309.28 = 993.10 : x
  2. Step 2: Convert to fraction form
    1,542.55/2,309.28 = 993.10/x
  3. Step 3: Cross multiply
    1,542.55x = 2,309.28 × 993.10
  4. Step 4: Simplify right side
    1,542.55x = 2,293,345.97
  5. Step 5: Solve for x
    x = 2,293,345.97/1,542.55
  6. Step 6: Final answer
    x = 1,486.72

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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.