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Finding the Fourth Proportional to 31,458, 47,203.41 and 12,751.86

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Solution

The fourth proportional to 31,458, 47,203.41 and 12,751.86 is: 19,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458 : 47,203.41 = 12,751.86 : x
  2. Step 2: Convert to fraction form
    31,458/47,203.41 = 12,751.86/x
  3. Step 3: Cross multiply
    31,458x = 47,203.41 × 12,751.86
  4. Step 4: Simplify right side
    31,458x = 601,931,275.84
  5. Step 5: Solve for x
    x = 601,931,275.84/31,458
  6. Step 6: Final answer
    x = 19,134.44

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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.