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Finding the Fourth Proportional to 9,389.64, 12,959.76 and 6,203.46

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Solution

The fourth proportional to 9,389.64, 12,959.76 and 6,203.46 is: 8,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.64 : 12,959.76 = 6,203.46 : x
  2. Step 2: Convert to fraction form
    9,389.64/12,959.76 = 6,203.46/x
  3. Step 3: Cross multiply
    9,389.64x = 12,959.76 × 6,203.46
  4. Step 4: Simplify right side
    9,389.64x = 80,395,352.77
  5. Step 5: Solve for x
    x = 80,395,352.77/9,389.64
  6. Step 6: Final answer
    x = 8,562.13

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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.