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Finding the Fourth Proportional to 9,235.50, 13,853.19 and 2,310

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Solution

The fourth proportional to 9,235.50, 13,853.19 and 2,310 is: 3,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.50 : 13,853.19 = 2,310 : x
  2. Step 2: Convert to fraction form
    9,235.50/13,853.19 = 2,310/x
  3. Step 3: Cross multiply
    9,235.50x = 13,853.19 × 2,310
  4. Step 4: Simplify right side
    9,235.50x = 32,000,868.90
  5. Step 5: Solve for x
    x = 32,000,868.90/9,235.50
  6. Step 6: Final answer
    x = 3,464.98

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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.