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Finding the Fourth Proportional to 17,655.40, 26,502.30 and 9,879.40

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Solution

The fourth proportional to 17,655.40, 26,502.30 and 9,879.40 is: 14,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.40 : 26,502.30 = 9,879.40 : x
  2. Step 2: Convert to fraction form
    17,655.40/26,502.30 = 9,879.40/x
  3. Step 3: Cross multiply
    17,655.40x = 26,502.30 × 9,879.40
  4. Step 4: Simplify right side
    17,655.40x = 261,826,822.62
  5. Step 5: Solve for x
    x = 261,826,822.62/17,655.40
  6. Step 6: Final answer
    x = 14,829.84

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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.