Home / 10,513.18-15,780.71-7,742.98

Finding the Fourth Proportional to 10,513.18, 15,780.71 and 7,742.98

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Solution

The fourth proportional to 10,513.18, 15,780.71 and 7,742.98 is: 11,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.18 : 15,780.71 = 7,742.98 : x
  2. Step 2: Convert to fraction form
    10,513.18/15,780.71 = 7,742.98/x
  3. Step 3: Cross multiply
    10,513.18x = 15,780.71 × 7,742.98
  4. Step 4: Simplify right side
    10,513.18x = 122,189,683.20
  5. Step 5: Solve for x
    x = 122,189,683.20/10,513.18
  6. Step 6: Final answer
    x = 11,622.52

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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.