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Finding the Fourth Proportional to 9,442.92, 13,036.10 and 6,315.56

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Solution

The fourth proportional to 9,442.92, 13,036.10 and 6,315.56 is: 8,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.92 : 13,036.10 = 6,315.56 : x
  2. Step 2: Convert to fraction form
    9,442.92/13,036.10 = 6,315.56/x
  3. Step 3: Cross multiply
    9,442.92x = 13,036.10 × 6,315.56
  4. Step 4: Simplify right side
    9,442.92x = 82,330,271.72
  5. Step 5: Solve for x
    x = 82,330,271.72/9,442.92
  6. Step 6: Final answer
    x = 8,718.73

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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.