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Finding the Fourth Proportional to 31,950.40, 47,689.04 and 29,980.48

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Solution

The fourth proportional to 31,950.40, 47,689.04 and 29,980.48 is: 44,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950.40 : 47,689.04 = 29,980.48 : x
  2. Step 2: Convert to fraction form
    31,950.40/47,689.04 = 29,980.48/x
  3. Step 3: Cross multiply
    31,950.40x = 47,689.04 × 29,980.48
  4. Step 4: Simplify right side
    31,950.40x = 1,429,740,309.94
  5. Step 5: Solve for x
    x = 1,429,740,309.94/31,950.40
  6. Step 6: Final answer
    x = 44,748.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.