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Finding the Fourth Proportional to 2,127.88, 3,192.72 and 742.16

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Solution

The fourth proportional to 2,127.88, 3,192.72 and 742.16 is: 1,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.88 : 3,192.72 = 742.16 : x
  2. Step 2: Convert to fraction form
    2,127.88/3,192.72 = 742.16/x
  3. Step 3: Cross multiply
    2,127.88x = 3,192.72 × 742.16
  4. Step 4: Simplify right side
    2,127.88x = 2,369,509.08
  5. Step 5: Solve for x
    x = 2,369,509.08/2,127.88
  6. Step 6: Final answer
    x = 1,113.55

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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.