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Finding the Fourth Proportional to 7,085.43, 9,778.73 and 4,061.63

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Solution

The fourth proportional to 7,085.43, 9,778.73 and 4,061.63 is: 5,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.43 : 9,778.73 = 4,061.63 : x
  2. Step 2: Convert to fraction form
    7,085.43/9,778.73 = 4,061.63/x
  3. Step 3: Cross multiply
    7,085.43x = 9,778.73 × 4,061.63
  4. Step 4: Simplify right side
    7,085.43x = 39,717,583.13
  5. Step 5: Solve for x
    x = 39,717,583.13/7,085.43
  6. Step 6: Final answer
    x = 5,605.53

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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.