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Finding the Fourth Proportional to 9,103.50, 13,655.25 and 2,947.50

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Solution

The fourth proportional to 9,103.50, 13,655.25 and 2,947.50 is: 4,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.50 : 13,655.25 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    9,103.50/13,655.25 = 2,947.50/x
  3. Step 3: Cross multiply
    9,103.50x = 13,655.25 × 2,947.50
  4. Step 4: Simplify right side
    9,103.50x = 40,248,849.38
  5. Step 5: Solve for x
    x = 40,248,849.38/9,103.50
  6. Step 6: Final answer
    x = 4,421.25

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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.