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Finding the Fourth Proportional to 6,988.29, 9,643.95 and 3,844.50

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Solution

The fourth proportional to 6,988.29, 9,643.95 and 3,844.50 is: 5,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.29 : 9,643.95 = 3,844.50 : x
  2. Step 2: Convert to fraction form
    6,988.29/9,643.95 = 3,844.50/x
  3. Step 3: Cross multiply
    6,988.29x = 9,643.95 × 3,844.50
  4. Step 4: Simplify right side
    6,988.29x = 37,076,165.78
  5. Step 5: Solve for x
    x = 37,076,165.78/6,988.29
  6. Step 6: Final answer
    x = 5,305.47

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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.