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Finding the Fourth Proportional to 4,723.52, 7,055.10 and 4,278.14

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Solution

The fourth proportional to 4,723.52, 7,055.10 and 4,278.14 is: 6,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.52 : 7,055.10 = 4,278.14 : x
  2. Step 2: Convert to fraction form
    4,723.52/7,055.10 = 4,278.14/x
  3. Step 3: Cross multiply
    4,723.52x = 7,055.10 × 4,278.14
  4. Step 4: Simplify right side
    4,723.52x = 30,182,705.51
  5. Step 5: Solve for x
    x = 30,182,705.51/4,723.52
  6. Step 6: Final answer
    x = 6,389.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.