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Finding the Fourth Proportional to 31,172.16, 46,766.28 and 8,987.28

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Solution

The fourth proportional to 31,172.16, 46,766.28 and 8,987.28 is: 13,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.16 : 46,766.28 = 8,987.28 : x
  2. Step 2: Convert to fraction form
    31,172.16/46,766.28 = 8,987.28/x
  3. Step 3: Cross multiply
    31,172.16x = 46,766.28 × 8,987.28
  4. Step 4: Simplify right side
    31,172.16x = 420,301,652.92
  5. Step 5: Solve for x
    x = 420,301,652.92/31,172.16
  6. Step 6: Final answer
    x = 13,483.24

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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.