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Finding the Fourth Proportional to 9,903.25, 13,666.49 and 5,711.50

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Solution

The fourth proportional to 9,903.25, 13,666.49 and 5,711.50 is: 7,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.25 : 13,666.49 = 5,711.50 : x
  2. Step 2: Convert to fraction form
    9,903.25/13,666.49 = 5,711.50/x
  3. Step 3: Cross multiply
    9,903.25x = 13,666.49 × 5,711.50
  4. Step 4: Simplify right side
    9,903.25x = 78,056,129.08
  5. Step 5: Solve for x
    x = 78,056,129.08/9,903.25
  6. Step 6: Final answer
    x = 7,881.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.