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Finding the Fourth Proportional to 20,779.76, 31,176.12 and 6,938.48

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Solution

The fourth proportional to 20,779.76, 31,176.12 and 6,938.48 is: 10,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.76 : 31,176.12 = 6,938.48 : x
  2. Step 2: Convert to fraction form
    20,779.76/31,176.12 = 6,938.48/x
  3. Step 3: Cross multiply
    20,779.76x = 31,176.12 × 6,938.48
  4. Step 4: Simplify right side
    20,779.76x = 216,314,885.10
  5. Step 5: Solve for x
    x = 216,314,885.10/20,779.76
  6. Step 6: Final answer
    x = 10,409.88

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1.5x scale

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.