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Finding the Fourth Proportional to 12,886.16, 19,290.32 and 11,654.16

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Solution

The fourth proportional to 12,886.16, 19,290.32 and 11,654.16 is: 17,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.16 : 19,290.32 = 11,654.16 : x
  2. Step 2: Convert to fraction form
    12,886.16/19,290.32 = 11,654.16/x
  3. Step 3: Cross multiply
    12,886.16x = 19,290.32 × 11,654.16
  4. Step 4: Simplify right side
    12,886.16x = 224,812,475.73
  5. Step 5: Solve for x
    x = 224,812,475.73/12,886.16
  6. Step 6: Final answer
    x = 17,446.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.