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Finding the Fourth Proportional to 7,402.08, 10,204.92 and 7,172.76

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Solution

The fourth proportional to 7,402.08, 10,204.92 and 7,172.76 is: 9,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.08 : 10,204.92 = 7,172.76 : x
  2. Step 2: Convert to fraction form
    7,402.08/10,204.92 = 7,172.76/x
  3. Step 3: Cross multiply
    7,402.08x = 10,204.92 × 7,172.76
  4. Step 4: Simplify right side
    7,402.08x = 73,197,441.98
  5. Step 5: Solve for x
    x = 73,197,441.98/7,402.08
  6. Step 6: Final answer
    x = 9,888.77

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Half scale
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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.