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Finding the Fourth Proportional to 12,887, 17,784.78 and 7,299.80

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Solution

The fourth proportional to 12,887, 17,784.78 and 7,299.80 is: 10,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887 : 17,784.78 = 7,299.80 : x
  2. Step 2: Convert to fraction form
    12,887/17,784.78 = 7,299.80/x
  3. Step 3: Cross multiply
    12,887x = 17,784.78 × 7,299.80
  4. Step 4: Simplify right side
    12,887x = 129,825,337.04
  5. Step 5: Solve for x
    x = 129,825,337.04/12,887
  6. Step 6: Final answer
    x = 10,074.13

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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.