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Finding the Fourth Proportional to 7,505, 10,356.48 and 4,147.16

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Solution

The fourth proportional to 7,505, 10,356.48 and 4,147.16 is: 5,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505 : 10,356.48 = 4,147.16 : x
  2. Step 2: Convert to fraction form
    7,505/10,356.48 = 4,147.16/x
  3. Step 3: Cross multiply
    7,505x = 10,356.48 × 4,147.16
  4. Step 4: Simplify right side
    7,505x = 42,949,979.60
  5. Step 5: Solve for x
    x = 42,949,979.60/7,505
  6. Step 6: Final answer
    x = 5,722.85

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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.