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Finding the Fourth Proportional to 1,612.96, 2,407.84 and 1,548.16

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Solution

The fourth proportional to 1,612.96, 2,407.84 and 1,548.16 is: 2,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.96 : 2,407.84 = 1,548.16 : x
  2. Step 2: Convert to fraction form
    1,612.96/2,407.84 = 1,548.16/x
  3. Step 3: Cross multiply
    1,612.96x = 2,407.84 × 1,548.16
  4. Step 4: Simplify right side
    1,612.96x = 3,727,721.57
  5. Step 5: Solve for x
    x = 3,727,721.57/1,612.96
  6. Step 6: Final answer
    x = 2,311.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.