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Finding the Fourth Proportional to 7,903.64, 10,908.08 and 7,644.02

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Solution

The fourth proportional to 7,903.64, 10,908.08 and 7,644.02 is: 10,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.64 : 10,908.08 = 7,644.02 : x
  2. Step 2: Convert to fraction form
    7,903.64/10,908.08 = 7,644.02/x
  3. Step 3: Cross multiply
    7,903.64x = 10,908.08 × 7,644.02
  4. Step 4: Simplify right side
    7,903.64x = 83,381,488.92
  5. Step 5: Solve for x
    x = 83,381,488.92/7,903.64
  6. Step 6: Final answer
    x = 10,549.76

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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.