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Finding the Fourth Proportional to 12,178.80, 16,777.80 and 10,040.40

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Solution

The fourth proportional to 12,178.80, 16,777.80 and 10,040.40 is: 13,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.80 : 16,777.80 = 10,040.40 : x
  2. Step 2: Convert to fraction form
    12,178.80/16,777.80 = 10,040.40/x
  3. Step 3: Cross multiply
    12,178.80x = 16,777.80 × 10,040.40
  4. Step 4: Simplify right side
    12,178.80x = 168,455,823.12
  5. Step 5: Solve for x
    x = 168,455,823.12/12,178.80
  6. Step 6: Final answer
    x = 13,831.89

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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.