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Finding the Fourth Proportional to 7,146.68, 10,720.26 and 6,335.06

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Solution

The fourth proportional to 7,146.68, 10,720.26 and 6,335.06 is: 9,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.68 : 10,720.26 = 6,335.06 : x
  2. Step 2: Convert to fraction form
    7,146.68/10,720.26 = 6,335.06/x
  3. Step 3: Cross multiply
    7,146.68x = 10,720.26 × 6,335.06
  4. Step 4: Simplify right side
    7,146.68x = 67,913,490.32
  5. Step 5: Solve for x
    x = 67,913,490.32/7,146.68
  6. Step 6: Final answer
    x = 9,502.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.