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Finding the Fourth Proportional to 31,497.19, 47,245.78 and 13,029.19

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Solution

The fourth proportional to 31,497.19, 47,245.78 and 13,029.19 is: 19,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.19 : 47,245.78 = 13,029.19 : x
  2. Step 2: Convert to fraction form
    31,497.19/47,245.78 = 13,029.19/x
  3. Step 3: Cross multiply
    31,497.19x = 47,245.78 × 13,029.19
  4. Step 4: Simplify right side
    31,497.19x = 615,574,142.49
  5. Step 5: Solve for x
    x = 615,574,142.49/31,497.19
  6. Step 6: Final answer
    x = 19,543.78

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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.