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Finding the Fourth Proportional to 12,841.80, 17,722.04 and 7,252.80

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Solution

The fourth proportional to 12,841.80, 17,722.04 and 7,252.80 is: 10,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.80 : 17,722.04 = 7,252.80 : x
  2. Step 2: Convert to fraction form
    12,841.80/17,722.04 = 7,252.80/x
  3. Step 3: Cross multiply
    12,841.80x = 17,722.04 × 7,252.80
  4. Step 4: Simplify right side
    12,841.80x = 128,534,411.71
  5. Step 5: Solve for x
    x = 128,534,411.71/12,841.80
  6. Step 6: Final answer
    x = 10,009.07

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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.