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Finding the Fourth Proportional to 12,707.17, 17,535.90 and 7,118.17

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Solution

The fourth proportional to 12,707.17, 17,535.90 and 7,118.17 is: 9,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.17 : 17,535.90 = 7,118.17 : x
  2. Step 2: Convert to fraction form
    12,707.17/17,535.90 = 7,118.17/x
  3. Step 3: Cross multiply
    12,707.17x = 17,535.90 × 7,118.17
  4. Step 4: Simplify right side
    12,707.17x = 124,823,481.71
  5. Step 5: Solve for x
    x = 124,823,481.71/12,707.17
  6. Step 6: Final answer
    x = 9,823.07

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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.