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Finding the Fourth Proportional to 7,070.56, 9,755.12 and 4,086

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Solution

The fourth proportional to 7,070.56, 9,755.12 and 4,086 is: 5,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.56 : 9,755.12 = 4,086 : x
  2. Step 2: Convert to fraction form
    7,070.56/9,755.12 = 4,086/x
  3. Step 3: Cross multiply
    7,070.56x = 9,755.12 × 4,086
  4. Step 4: Simplify right side
    7,070.56x = 39,859,420.32
  5. Step 5: Solve for x
    x = 39,859,420.32/7,070.56
  6. Step 6: Final answer
    x = 5,637.38

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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.