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Finding the Fourth Proportional to 31,794.60, 47,691.90 and 19,339.05

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Solution

The fourth proportional to 31,794.60, 47,691.90 and 19,339.05 is: 29,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.60 : 47,691.90 = 19,339.05 : x
  2. Step 2: Convert to fraction form
    31,794.60/47,691.90 = 19,339.05/x
  3. Step 3: Cross multiply
    31,794.60x = 47,691.90 × 19,339.05
  4. Step 4: Simplify right side
    31,794.60x = 922,316,038.70
  5. Step 5: Solve for x
    x = 922,316,038.70/31,794.60
  6. Step 6: Final answer
    x = 29,008.58

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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.