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Finding the Fourth Proportional to 10,512.68, 15,779.96 and 7,742.48

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Solution

The fourth proportional to 10,512.68, 15,779.96 and 7,742.48 is: 11,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.68 : 15,779.96 = 7,742.48 : x
  2. Step 2: Convert to fraction form
    10,512.68/15,779.96 = 7,742.48/x
  3. Step 3: Cross multiply
    10,512.68x = 15,779.96 × 7,742.48
  4. Step 4: Simplify right side
    10,512.68x = 122,175,985.99
  5. Step 5: Solve for x
    x = 122,175,985.99/10,512.68
  6. Step 6: Final answer
    x = 11,621.77

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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.