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Finding the Fourth Proportional to 7,755, 10,703.70 and 4,613.04

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Solution

The fourth proportional to 7,755, 10,703.70 and 4,613.04 is: 6,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755 : 10,703.70 = 4,613.04 : x
  2. Step 2: Convert to fraction form
    7,755/10,703.70 = 4,613.04/x
  3. Step 3: Cross multiply
    7,755x = 10,703.70 × 4,613.04
  4. Step 4: Simplify right side
    7,755x = 49,376,596.25
  5. Step 5: Solve for x
    x = 49,376,596.25/7,755
  6. Step 6: Final answer
    x = 6,367.07

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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.