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Finding the Fourth Proportional to 3,614.40, 5,421.06 and 1,017

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Solution

The fourth proportional to 3,614.40, 5,421.06 and 1,017 is: 1,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.40 : 5,421.06 = 1,017 : x
  2. Step 2: Convert to fraction form
    3,614.40/5,421.06 = 1,017/x
  3. Step 3: Cross multiply
    3,614.40x = 5,421.06 × 1,017
  4. Step 4: Simplify right side
    3,614.40x = 5,513,218.02
  5. Step 5: Solve for x
    x = 5,513,218.02/3,614.40
  6. Step 6: Final answer
    x = 1,525.35

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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.