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Finding the Fourth Proportional to 3,126.40, 4,689.76 and 817.92

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Solution

The fourth proportional to 3,126.40, 4,689.76 and 817.92 is: 1,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.40 : 4,689.76 = 817.92 : x
  2. Step 2: Convert to fraction form
    3,126.40/4,689.76 = 817.92/x
  3. Step 3: Cross multiply
    3,126.40x = 4,689.76 × 817.92
  4. Step 4: Simplify right side
    3,126.40x = 3,835,848.50
  5. Step 5: Solve for x
    x = 3,835,848.50/3,126.40
  6. Step 6: Final answer
    x = 1,226.92

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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.