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Finding the Fourth Proportional to 9,291.50, 13,937.25 and 3,135.50

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Solution

The fourth proportional to 9,291.50, 13,937.25 and 3,135.50 is: 4,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.50 : 13,937.25 = 3,135.50 : x
  2. Step 2: Convert to fraction form
    9,291.50/13,937.25 = 3,135.50/x
  3. Step 3: Cross multiply
    9,291.50x = 13,937.25 × 3,135.50
  4. Step 4: Simplify right side
    9,291.50x = 43,700,247.38
  5. Step 5: Solve for x
    x = 43,700,247.38/9,291.50
  6. Step 6: Final answer
    x = 4,703.25

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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.