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Finding the Fourth Proportional to 3,254.48, 4,881 and 1,280.24

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Solution

The fourth proportional to 3,254.48, 4,881 and 1,280.24 is: 1,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.48 : 4,881 = 1,280.24 : x
  2. Step 2: Convert to fraction form
    3,254.48/4,881 = 1,280.24/x
  3. Step 3: Cross multiply
    3,254.48x = 4,881 × 1,280.24
  4. Step 4: Simplify right side
    3,254.48x = 6,248,851.44
  5. Step 5: Solve for x
    x = 6,248,851.44/3,254.48
  6. Step 6: Final answer
    x = 1,920.08

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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.