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Finding the Fourth Proportional to 9,407.64, 12,979.62 and 6,264.36

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Solution

The fourth proportional to 9,407.64, 12,979.62 and 6,264.36 is: 8,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.64 : 12,979.62 = 6,264.36 : x
  2. Step 2: Convert to fraction form
    9,407.64/12,979.62 = 6,264.36/x
  3. Step 3: Cross multiply
    9,407.64x = 12,979.62 × 6,264.36
  4. Step 4: Simplify right side
    9,407.64x = 81,309,012.34
  5. Step 5: Solve for x
    x = 81,309,012.34/9,407.64
  6. Step 6: Final answer
    x = 8,642.87

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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.