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Finding the Fourth Proportional to 9,866, 13,617.40 and 6,509.44

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Solution

The fourth proportional to 9,866, 13,617.40 and 6,509.44 is: 8,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866 : 13,617.40 = 6,509.44 : x
  2. Step 2: Convert to fraction form
    9,866/13,617.40 = 6,509.44/x
  3. Step 3: Cross multiply
    9,866x = 13,617.40 × 6,509.44
  4. Step 4: Simplify right side
    9,866x = 88,641,648.26
  5. Step 5: Solve for x
    x = 88,641,648.26/9,866
  6. Step 6: Final answer
    x = 8,984.56

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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.