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Finding the Fourth Proportional to 12,956.32, 19,443.06 and 7,117

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Solution

The fourth proportional to 12,956.32, 19,443.06 and 7,117 is: 10,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.32 : 19,443.06 = 7,117 : x
  2. Step 2: Convert to fraction form
    12,956.32/19,443.06 = 7,117/x
  3. Step 3: Cross multiply
    12,956.32x = 19,443.06 × 7,117
  4. Step 4: Simplify right side
    12,956.32x = 138,376,258.02
  5. Step 5: Solve for x
    x = 138,376,258.02/12,956.32
  6. Step 6: Final answer
    x = 10,680.21

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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.