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Finding the Fourth Proportional to 12,707.13, 17,535.84 and 7,739.13

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Solution

The fourth proportional to 12,707.13, 17,535.84 and 7,739.13 is: 10,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.13 : 17,535.84 = 7,739.13 : x
  2. Step 2: Convert to fraction form
    12,707.13/17,535.84 = 7,739.13/x
  3. Step 3: Cross multiply
    12,707.13x = 17,535.84 × 7,739.13
  4. Step 4: Simplify right side
    12,707.13x = 135,712,145.42
  5. Step 5: Solve for x
    x = 135,712,145.42/12,707.13
  6. Step 6: Final answer
    x = 10,680.00

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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.