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Finding the Fourth Proportional to 8,497.40, 12,746.10 and 2,257.40

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Solution

The fourth proportional to 8,497.40, 12,746.10 and 2,257.40 is: 3,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.40 : 12,746.10 = 2,257.40 : x
  2. Step 2: Convert to fraction form
    8,497.40/12,746.10 = 2,257.40/x
  3. Step 3: Cross multiply
    8,497.40x = 12,746.10 × 2,257.40
  4. Step 4: Simplify right side
    8,497.40x = 28,773,046.14
  5. Step 5: Solve for x
    x = 28,773,046.14/8,497.40
  6. Step 6: Final answer
    x = 3,386.10

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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.