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Finding the Fourth Proportional to 12,355.68, 17,065.80 and 8,993.16

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Solution

The fourth proportional to 12,355.68, 17,065.80 and 8,993.16 is: 12,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.68 : 17,065.80 = 8,993.16 : x
  2. Step 2: Convert to fraction form
    12,355.68/17,065.80 = 8,993.16/x
  3. Step 3: Cross multiply
    12,355.68x = 17,065.80 × 8,993.16
  4. Step 4: Simplify right side
    12,355.68x = 153,475,469.93
  5. Step 5: Solve for x
    x = 153,475,469.93/12,355.68
  6. Step 6: Final answer
    x = 12,421.45

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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.