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Finding the Fourth Proportional to 3,478.80, 4,803.12 and 2,431.20

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Solution

The fourth proportional to 3,478.80, 4,803.12 and 2,431.20 is: 3,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.80 : 4,803.12 = 2,431.20 : x
  2. Step 2: Convert to fraction form
    3,478.80/4,803.12 = 2,431.20/x
  3. Step 3: Cross multiply
    3,478.80x = 4,803.12 × 2,431.20
  4. Step 4: Simplify right side
    3,478.80x = 11,677,345.34
  5. Step 5: Solve for x
    x = 11,677,345.34/3,478.80
  6. Step 6: Final answer
    x = 3,356.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.