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Finding the Fourth Proportional to 7,449.44, 10,279.71 and 4,463.78

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Solution

The fourth proportional to 7,449.44, 10,279.71 and 4,463.78 is: 6,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.44 : 10,279.71 = 4,463.78 : x
  2. Step 2: Convert to fraction form
    7,449.44/10,279.71 = 4,463.78/x
  3. Step 3: Cross multiply
    7,449.44x = 10,279.71 × 4,463.78
  4. Step 4: Simplify right side
    7,449.44x = 45,886,312.51
  5. Step 5: Solve for x
    x = 45,886,312.51/7,449.44
  6. Step 6: Final answer
    x = 6,159.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.