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Finding the Fourth Proportional to 12,564.26, 17,339.16 and 6,899.48

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Solution

The fourth proportional to 12,564.26, 17,339.16 and 6,899.48 is: 9,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.26 : 17,339.16 = 6,899.48 : x
  2. Step 2: Convert to fraction form
    12,564.26/17,339.16 = 6,899.48/x
  3. Step 3: Cross multiply
    12,564.26x = 17,339.16 × 6,899.48
  4. Step 4: Simplify right side
    12,564.26x = 119,631,187.64
  5. Step 5: Solve for x
    x = 119,631,187.64/12,564.26
  6. Step 6: Final answer
    x = 9,521.55

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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.