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Finding the Fourth Proportional to 4,712, 7,068 and 1,249.28

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Solution

The fourth proportional to 4,712, 7,068 and 1,249.28 is: 1,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712 : 7,068 = 1,249.28 : x
  2. Step 2: Convert to fraction form
    4,712/7,068 = 1,249.28/x
  3. Step 3: Cross multiply
    4,712x = 7,068 × 1,249.28
  4. Step 4: Simplify right side
    4,712x = 8,829,911.04
  5. Step 5: Solve for x
    x = 8,829,911.04/4,712
  6. Step 6: Final answer
    x = 1,873.92

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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.