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Finding the Fourth Proportional to 10,775.61, 14,866.11 and 7,949.79

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Solution

The fourth proportional to 10,775.61, 14,866.11 and 7,949.79 is: 10,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.61 : 14,866.11 = 7,949.79 : x
  2. Step 2: Convert to fraction form
    10,775.61/14,866.11 = 7,949.79/x
  3. Step 3: Cross multiply
    10,775.61x = 14,866.11 × 7,949.79
  4. Step 4: Simplify right side
    10,775.61x = 118,182,452.62
  5. Step 5: Solve for x
    x = 118,182,452.62/10,775.61
  6. Step 6: Final answer
    x = 10,967.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.