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Finding the Fourth Proportional to 10,875.68, 16,310.40 and 4,300.64

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Solution

The fourth proportional to 10,875.68, 16,310.40 and 4,300.64 is: 6,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.68 : 16,310.40 = 4,300.64 : x
  2. Step 2: Convert to fraction form
    10,875.68/16,310.40 = 4,300.64/x
  3. Step 3: Cross multiply
    10,875.68x = 16,310.40 × 4,300.64
  4. Step 4: Simplify right side
    10,875.68x = 70,145,158.66
  5. Step 5: Solve for x
    x = 70,145,158.66/10,875.68
  6. Step 6: Final answer
    x = 6,449.73

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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.