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Finding the Fourth Proportional to 7,002.76, 10,505.80 and 2,005.20

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Solution

The fourth proportional to 7,002.76, 10,505.80 and 2,005.20 is: 3,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.76 : 10,505.80 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    7,002.76/10,505.80 = 2,005.20/x
  3. Step 3: Cross multiply
    7,002.76x = 10,505.80 × 2,005.20
  4. Step 4: Simplify right side
    7,002.76x = 21,066,230.16
  5. Step 5: Solve for x
    x = 21,066,230.16/7,002.76
  6. Step 6: Final answer
    x = 3,008.28

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1.5x scale

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.