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Finding the Fourth Proportional to 31,812.80, 47,719.20 and 11,038.40

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Solution

The fourth proportional to 31,812.80, 47,719.20 and 11,038.40 is: 16,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.80 : 47,719.20 = 11,038.40 : x
  2. Step 2: Convert to fraction form
    31,812.80/47,719.20 = 11,038.40/x
  3. Step 3: Cross multiply
    31,812.80x = 47,719.20 × 11,038.40
  4. Step 4: Simplify right side
    31,812.80x = 526,743,617.28
  5. Step 5: Solve for x
    x = 526,743,617.28/31,812.80
  6. Step 6: Final answer
    x = 16,557.60

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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.