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Finding the Fourth Proportional to 7,755.86, 10,703.02 and 4,219.07

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Solution

The fourth proportional to 7,755.86, 10,703.02 and 4,219.07 is: 5,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.86 : 10,703.02 = 4,219.07 : x
  2. Step 2: Convert to fraction form
    7,755.86/10,703.02 = 4,219.07/x
  3. Step 3: Cross multiply
    7,755.86x = 10,703.02 × 4,219.07
  4. Step 4: Simplify right side
    7,755.86x = 45,156,857.60
  5. Step 5: Solve for x
    x = 45,156,857.60/7,755.86
  6. Step 6: Final answer
    x = 5,822.29

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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.