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Finding the Fourth Proportional to 12,178.80, 16,802.64 and 7,927.92

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Solution

The fourth proportional to 12,178.80, 16,802.64 and 7,927.92 is: 10,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.80 : 16,802.64 = 7,927.92 : x
  2. Step 2: Convert to fraction form
    12,178.80/16,802.64 = 7,927.92/x
  3. Step 3: Cross multiply
    12,178.80x = 16,802.64 × 7,927.92
  4. Step 4: Simplify right side
    12,178.80x = 133,209,985.71
  5. Step 5: Solve for x
    x = 133,209,985.71/12,178.80
  6. Step 6: Final answer
    x = 10,937.86

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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.