Home / 12,822-17,678.34-10,700.58

Finding the Fourth Proportional to 12,822, 17,678.34 and 10,700.58

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Solution

The fourth proportional to 12,822, 17,678.34 and 10,700.58 is: 14,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822 : 17,678.34 = 10,700.58 : x
  2. Step 2: Convert to fraction form
    12,822/17,678.34 = 10,700.58/x
  3. Step 3: Cross multiply
    12,822x = 17,678.34 × 10,700.58
  4. Step 4: Simplify right side
    12,822x = 189,168,491.44
  5. Step 5: Solve for x
    x = 189,168,491.44/12,822
  6. Step 6: Final answer
    x = 14,753.43

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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.