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Finding the Fourth Proportional to 7,290.56, 10,061 and 3,978.56

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Solution

The fourth proportional to 7,290.56, 10,061 and 3,978.56 is: 5,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.56 : 10,061 = 3,978.56 : x
  2. Step 2: Convert to fraction form
    7,290.56/10,061 = 3,978.56/x
  3. Step 3: Cross multiply
    7,290.56x = 10,061 × 3,978.56
  4. Step 4: Simplify right side
    7,290.56x = 40,028,292.16
  5. Step 5: Solve for x
    x = 40,028,292.16/7,290.56
  6. Step 6: Final answer
    x = 5,490.43

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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.