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Finding the Fourth Proportional to 19,317.40, 28,978.26 and 6,165.16

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Solution

The fourth proportional to 19,317.40, 28,978.26 and 6,165.16 is: 9,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,317.40 : 28,978.26 = 6,165.16 : x
  2. Step 2: Convert to fraction form
    19,317.40/28,978.26 = 6,165.16/x
  3. Step 3: Cross multiply
    19,317.40x = 28,978.26 × 6,165.16
  4. Step 4: Simplify right side
    19,317.40x = 178,655,609.42
  5. Step 5: Solve for x
    x = 178,655,609.42/19,317.40
  6. Step 6: Final answer
    x = 9,248.43

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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.