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Finding the Fourth Proportional to 7,121.84, 10,681.80 and 1,927.28

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Solution

The fourth proportional to 7,121.84, 10,681.80 and 1,927.28 is: 2,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.84 : 10,681.80 = 1,927.28 : x
  2. Step 2: Convert to fraction form
    7,121.84/10,681.80 = 1,927.28/x
  3. Step 3: Cross multiply
    7,121.84x = 10,681.80 × 1,927.28
  4. Step 4: Simplify right side
    7,121.84x = 20,586,819.50
  5. Step 5: Solve for x
    x = 20,586,819.50/7,121.84
  6. Step 6: Final answer
    x = 2,890.66

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1.5x scale

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.