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Finding the Fourth Proportional to 7,688.05, 10,615.34 and 7,565.48

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Solution

The fourth proportional to 7,688.05, 10,615.34 and 7,565.48 is: 10,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.05 : 10,615.34 = 7,565.48 : x
  2. Step 2: Convert to fraction form
    7,688.05/10,615.34 = 7,565.48/x
  3. Step 3: Cross multiply
    7,688.05x = 10,615.34 × 7,565.48
  4. Step 4: Simplify right side
    7,688.05x = 80,310,108.30
  5. Step 5: Solve for x
    x = 80,310,108.30/7,688.05
  6. Step 6: Final answer
    x = 10,446.10

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Double 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.