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Finding the Fourth Proportional to 12,840, 17,719.20 and 7,252.80

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Solution

The fourth proportional to 12,840, 17,719.20 and 7,252.80 is: 10,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 17,719.20 = 7,252.80 : x
  2. Step 2: Convert to fraction form
    12,840/17,719.20 = 7,252.80/x
  3. Step 3: Cross multiply
    12,840x = 17,719.20 × 7,252.80
  4. Step 4: Simplify right side
    12,840x = 128,513,813.76
  5. Step 5: Solve for x
    x = 128,513,813.76/12,840
  6. Step 6: Final answer
    x = 10,008.86

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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.