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Finding the Fourth Proportional to 9,877.92, 14,816.90 and 2,858.50

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Solution

The fourth proportional to 9,877.92, 14,816.90 and 2,858.50 is: 4,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.92 : 14,816.90 = 2,858.50 : x
  2. Step 2: Convert to fraction form
    9,877.92/14,816.90 = 2,858.50/x
  3. Step 3: Cross multiply
    9,877.92x = 14,816.90 × 2,858.50
  4. Step 4: Simplify right side
    9,877.92x = 42,354,108.65
  5. Step 5: Solve for x
    x = 42,354,108.65/9,877.92
  6. Step 6: Final answer
    x = 4,287.76

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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.