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Finding the Fourth Proportional to 12,877.94, 17,780.09 and 9,888.41

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Solution

The fourth proportional to 12,877.94, 17,780.09 and 9,888.41 is: 13,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.94 : 17,780.09 = 9,888.41 : x
  2. Step 2: Convert to fraction form
    12,877.94/17,780.09 = 9,888.41/x
  3. Step 3: Cross multiply
    12,877.94x = 17,780.09 × 9,888.41
  4. Step 4: Simplify right side
    12,877.94x = 175,816,681.41
  5. Step 5: Solve for x
    x = 175,816,681.41/12,877.94
  6. Step 6: Final answer
    x = 13,652.55

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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.