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Finding the Fourth Proportional to 4,929.88, 7,391.76 and 1,642.12

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Solution

The fourth proportional to 4,929.88, 7,391.76 and 1,642.12 is: 2,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.88 : 7,391.76 = 1,642.12 : x
  2. Step 2: Convert to fraction form
    4,929.88/7,391.76 = 1,642.12/x
  3. Step 3: Cross multiply
    4,929.88x = 7,391.76 × 1,642.12
  4. Step 4: Simplify right side
    4,929.88x = 12,138,156.93
  5. Step 5: Solve for x
    x = 12,138,156.93/4,929.88
  6. Step 6: Final answer
    x = 2,462.16

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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.