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Finding the Fourth Proportional to 10,609.14, 15,918.21 and 5,677.50

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Solution

The fourth proportional to 10,609.14, 15,918.21 and 5,677.50 is: 8,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.14 : 15,918.21 = 5,677.50 : x
  2. Step 2: Convert to fraction form
    10,609.14/15,918.21 = 5,677.50/x
  3. Step 3: Cross multiply
    10,609.14x = 15,918.21 × 5,677.50
  4. Step 4: Simplify right side
    10,609.14x = 90,375,637.28
  5. Step 5: Solve for x
    x = 90,375,637.28/10,609.14
  6. Step 6: Final answer
    x = 8,518.66

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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.