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Finding the Fourth Proportional to 3,142.07, 4,713.71 and 1,498.74

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Solution

The fourth proportional to 3,142.07, 4,713.71 and 1,498.74 is: 2,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.07 : 4,713.71 = 1,498.74 : x
  2. Step 2: Convert to fraction form
    3,142.07/4,713.71 = 1,498.74/x
  3. Step 3: Cross multiply
    3,142.07x = 4,713.71 × 1,498.74
  4. Step 4: Simplify right side
    3,142.07x = 7,064,618.23
  5. Step 5: Solve for x
    x = 7,064,618.23/3,142.07
  6. Step 6: Final answer
    x = 2,248.40

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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.