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Finding the Fourth Proportional to 9,235.92, 12,746.40 and 5,257.92

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Solution

The fourth proportional to 9,235.92, 12,746.40 and 5,257.92 is: 7,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.92 : 12,746.40 = 5,257.92 : x
  2. Step 2: Convert to fraction form
    9,235.92/12,746.40 = 5,257.92/x
  3. Step 3: Cross multiply
    9,235.92x = 12,746.40 × 5,257.92
  4. Step 4: Simplify right side
    9,235.92x = 67,019,551.49
  5. Step 5: Solve for x
    x = 67,019,551.49/9,235.92
  6. Step 6: Final answer
    x = 7,256.40

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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.