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Finding the Fourth Proportional to 10,657.80, 15,986.55 and 4,814.40

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Solution

The fourth proportional to 10,657.80, 15,986.55 and 4,814.40 is: 7,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.80 : 15,986.55 = 4,814.40 : x
  2. Step 2: Convert to fraction form
    10,657.80/15,986.55 = 4,814.40/x
  3. Step 3: Cross multiply
    10,657.80x = 15,986.55 × 4,814.40
  4. Step 4: Simplify right side
    10,657.80x = 76,965,646.32
  5. Step 5: Solve for x
    x = 76,965,646.32/10,657.80
  6. Step 6: Final answer
    x = 7,221.53

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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.