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Finding the Fourth Proportional to 6,881.40, 10,309.95 and 5,642.10

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Solution

The fourth proportional to 6,881.40, 10,309.95 and 5,642.10 is: 8,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.40 : 10,309.95 = 5,642.10 : x
  2. Step 2: Convert to fraction form
    6,881.40/10,309.95 = 5,642.10/x
  3. Step 3: Cross multiply
    6,881.40x = 10,309.95 × 5,642.10
  4. Step 4: Simplify right side
    6,881.40x = 58,169,768.90
  5. Step 5: Solve for x
    x = 58,169,768.90/6,881.40
  6. Step 6: Final answer
    x = 8,453.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.