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Finding the Fourth Proportional to 10,609.65, 15,914.61 and 5,419.17

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Solution

The fourth proportional to 10,609.65, 15,914.61 and 5,419.17 is: 8,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.65 : 15,914.61 = 5,419.17 : x
  2. Step 2: Convert to fraction form
    10,609.65/15,914.61 = 5,419.17/x
  3. Step 3: Cross multiply
    10,609.65x = 15,914.61 × 5,419.17
  4. Step 4: Simplify right side
    10,609.65x = 86,243,977.07
  5. Step 5: Solve for x
    x = 86,243,977.07/10,609.65
  6. Step 6: Final answer
    x = 8,128.82

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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.