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Finding the Fourth Proportional to 10,473.84, 15,712.65 and 3,454.20

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Solution

The fourth proportional to 10,473.84, 15,712.65 and 3,454.20 is: 5,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.84 : 15,712.65 = 3,454.20 : x
  2. Step 2: Convert to fraction form
    10,473.84/15,712.65 = 3,454.20/x
  3. Step 3: Cross multiply
    10,473.84x = 15,712.65 × 3,454.20
  4. Step 4: Simplify right side
    10,473.84x = 54,274,635.63
  5. Step 5: Solve for x
    x = 54,274,635.63/10,473.84
  6. Step 6: Final answer
    x = 5,181.92

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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.