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Finding the Fourth Proportional to 7,475.72, 10,305.72 and 5,230.64

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Solution

The fourth proportional to 7,475.72, 10,305.72 and 5,230.64 is: 7,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.72 : 10,305.72 = 5,230.64 : x
  2. Step 2: Convert to fraction form
    7,475.72/10,305.72 = 5,230.64/x
  3. Step 3: Cross multiply
    7,475.72x = 10,305.72 × 5,230.64
  4. Step 4: Simplify right side
    7,475.72x = 53,905,511.26
  5. Step 5: Solve for x
    x = 53,905,511.26/7,475.72
  6. Step 6: Final answer
    x = 7,210.75

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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.