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Finding the Fourth Proportional to 7,448.65, 10,278.53 and 4,091.29

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Solution

The fourth proportional to 7,448.65, 10,278.53 and 4,091.29 is: 5,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.65 : 10,278.53 = 4,091.29 : x
  2. Step 2: Convert to fraction form
    7,448.65/10,278.53 = 4,091.29/x
  3. Step 3: Cross multiply
    7,448.65x = 10,278.53 × 4,091.29
  4. Step 4: Simplify right side
    7,448.65x = 42,052,426.55
  5. Step 5: Solve for x
    x = 42,052,426.55/7,448.65
  6. Step 6: Final answer
    x = 5,645.64

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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.