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Finding the Fourth Proportional to 15,241.96, 21,036.90 and 9,649

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Solution

The fourth proportional to 15,241.96, 21,036.90 and 9,649 is: 13,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,241.96 : 21,036.90 = 9,649 : x
  2. Step 2: Convert to fraction form
    15,241.96/21,036.90 = 9,649/x
  3. Step 3: Cross multiply
    15,241.96x = 21,036.90 × 9,649
  4. Step 4: Simplify right side
    15,241.96x = 202,985,048.10
  5. Step 5: Solve for x
    x = 202,985,048.10/15,241.96
  6. Step 6: Final answer
    x = 13,317.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.