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Finding the Fourth Proportional to 7,122, 10,681.68 and 1,927.20

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Solution

The fourth proportional to 7,122, 10,681.68 and 1,927.20 is: 2,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122 : 10,681.68 = 1,927.20 : x
  2. Step 2: Convert to fraction form
    7,122/10,681.68 = 1,927.20/x
  3. Step 3: Cross multiply
    7,122x = 10,681.68 × 1,927.20
  4. Step 4: Simplify right side
    7,122x = 20,585,733.70
  5. Step 5: Solve for x
    x = 20,585,733.70/7,122
  6. Step 6: Final answer
    x = 2,890.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.