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Finding the Fourth Proportional to 31,137.86, 46,701.77 and 8,946.20

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Solution

The fourth proportional to 31,137.86, 46,701.77 and 8,946.20 is: 13,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.86 : 46,701.77 = 8,946.20 : x
  2. Step 2: Convert to fraction form
    31,137.86/46,701.77 = 8,946.20/x
  3. Step 3: Cross multiply
    31,137.86x = 46,701.77 × 8,946.20
  4. Step 4: Simplify right side
    31,137.86x = 417,803,096.53
  5. Step 5: Solve for x
    x = 417,803,096.53/31,137.86
  6. Step 6: Final answer
    x = 13,417.85

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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.