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Finding the Fourth Proportional to 7,471.86, 10,307.68 and 4,781.80

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Solution

The fourth proportional to 7,471.86, 10,307.68 and 4,781.80 is: 6,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.86 : 10,307.68 = 4,781.80 : x
  2. Step 2: Convert to fraction form
    7,471.86/10,307.68 = 4,781.80/x
  3. Step 3: Cross multiply
    7,471.86x = 10,307.68 × 4,781.80
  4. Step 4: Simplify right side
    7,471.86x = 49,289,264.22
  5. Step 5: Solve for x
    x = 49,289,264.22/7,471.86
  6. Step 6: Final answer
    x = 6,596.65

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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.