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Finding the Fourth Proportional to 10,291.68, 15,434.30 and 3,717

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Solution

The fourth proportional to 10,291.68, 15,434.30 and 3,717 is: 5,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.68 : 15,434.30 = 3,717 : x
  2. Step 2: Convert to fraction form
    10,291.68/15,434.30 = 3,717/x
  3. Step 3: Cross multiply
    10,291.68x = 15,434.30 × 3,717
  4. Step 4: Simplify right side
    10,291.68x = 57,369,293.10
  5. Step 5: Solve for x
    x = 57,369,293.10/10,291.68
  6. Step 6: Final answer
    x = 5,574.34

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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.