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Finding the Fourth Proportional to 12,714.04, 17,538.96 and 8,515

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Solution

The fourth proportional to 12,714.04, 17,538.96 and 8,515 is: 11,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.04 : 17,538.96 = 8,515 : x
  2. Step 2: Convert to fraction form
    12,714.04/17,538.96 = 8,515/x
  3. Step 3: Cross multiply
    12,714.04x = 17,538.96 × 8,515
  4. Step 4: Simplify right side
    12,714.04x = 149,344,244.40
  5. Step 5: Solve for x
    x = 149,344,244.40/12,714.04
  6. Step 6: Final answer
    x = 11,746.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.