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Finding the Fourth Proportional to 31,676.24, 47,312.02 and 28,669.68

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Solution

The fourth proportional to 31,676.24, 47,312.02 and 28,669.68 is: 42,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.24 : 47,312.02 = 28,669.68 : x
  2. Step 2: Convert to fraction form
    31,676.24/47,312.02 = 28,669.68/x
  3. Step 3: Cross multiply
    31,676.24x = 47,312.02 × 28,669.68
  4. Step 4: Simplify right side
    31,676.24x = 1,356,420,473.55
  5. Step 5: Solve for x
    x = 1,356,420,473.55/31,676.24
  6. Step 6: Final answer
    x = 42,821.39

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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.