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Finding the Fourth Proportional to 31,000.40, 46,502.40 and 8,815.40

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Solution

The fourth proportional to 31,000.40, 46,502.40 and 8,815.40 is: 13,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.40 : 46,502.40 = 8,815.40 : x
  2. Step 2: Convert to fraction form
    31,000.40/46,502.40 = 8,815.40/x
  3. Step 3: Cross multiply
    31,000.40x = 46,502.40 × 8,815.40
  4. Step 4: Simplify right side
    31,000.40x = 409,937,256.96
  5. Step 5: Solve for x
    x = 409,937,256.96/31,000.40
  6. Step 6: Final answer
    x = 13,223.61

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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.