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Finding the Fourth Proportional to 7,920.90, 10,927.26 and 4,562.49

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Solution

The fourth proportional to 7,920.90, 10,927.26 and 4,562.49 is: 6,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.90 : 10,927.26 = 4,562.49 : x
  2. Step 2: Convert to fraction form
    7,920.90/10,927.26 = 4,562.49/x
  3. Step 3: Cross multiply
    7,920.90x = 10,927.26 × 4,562.49
  4. Step 4: Simplify right side
    7,920.90x = 49,855,514.48
  5. Step 5: Solve for x
    x = 49,855,514.48/7,920.90
  6. Step 6: Final answer
    x = 6,294.17

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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.