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Finding the Fourth Proportional to 2,691.48, 4,038.06 and 1,230.24

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Solution

The fourth proportional to 2,691.48, 4,038.06 and 1,230.24 is: 1,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.48 : 4,038.06 = 1,230.24 : x
  2. Step 2: Convert to fraction form
    2,691.48/4,038.06 = 1,230.24/x
  3. Step 3: Cross multiply
    2,691.48x = 4,038.06 × 1,230.24
  4. Step 4: Simplify right side
    2,691.48x = 4,967,782.93
  5. Step 5: Solve for x
    x = 4,967,782.93/2,691.48
  6. Step 6: Final answer
    x = 1,845.74

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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.