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Finding the Fourth Proportional to 6,988.28, 9,643.86 and 3,844.46

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Solution

The fourth proportional to 6,988.28, 9,643.86 and 3,844.46 is: 5,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.28 : 9,643.86 = 3,844.46 : x
  2. Step 2: Convert to fraction form
    6,988.28/9,643.86 = 3,844.46/x
  3. Step 3: Cross multiply
    6,988.28x = 9,643.86 × 3,844.46
  4. Step 4: Simplify right side
    6,988.28x = 37,075,434.02
  5. Step 5: Solve for x
    x = 37,075,434.02/6,988.28
  6. Step 6: Final answer
    x = 5,305.37

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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.