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Finding the Fourth Proportional to 3,126.48, 4,689.72 and 935.16

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Solution

The fourth proportional to 3,126.48, 4,689.72 and 935.16 is: 1,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.48 : 4,689.72 = 935.16 : x
  2. Step 2: Convert to fraction form
    3,126.48/4,689.72 = 935.16/x
  3. Step 3: Cross multiply
    3,126.48x = 4,689.72 × 935.16
  4. Step 4: Simplify right side
    3,126.48x = 4,385,638.56
  5. Step 5: Solve for x
    x = 4,385,638.56/3,126.48
  6. Step 6: Final answer
    x = 1,402.74

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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.