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Finding the Fourth Proportional to 9,868.50, 14,810.04 and 4,674.38

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Solution

The fourth proportional to 9,868.50, 14,810.04 and 4,674.38 is: 7,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.50 : 14,810.04 = 4,674.38 : x
  2. Step 2: Convert to fraction form
    9,868.50/14,810.04 = 4,674.38/x
  3. Step 3: Cross multiply
    9,868.50x = 14,810.04 × 4,674.38
  4. Step 4: Simplify right side
    9,868.50x = 69,227,680.73
  5. Step 5: Solve for x
    x = 69,227,680.73/9,868.50
  6. Step 6: Final answer
    x = 7,015.02

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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.