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Finding the Fourth Proportional to 12,569.90, 17,346.49 and 6,980.90

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Solution

The fourth proportional to 12,569.90, 17,346.49 and 6,980.90 is: 9,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.90 : 17,346.49 = 6,980.90 : x
  2. Step 2: Convert to fraction form
    12,569.90/17,346.49 = 6,980.90/x
  3. Step 3: Cross multiply
    12,569.90x = 17,346.49 × 6,980.90
  4. Step 4: Simplify right side
    12,569.90x = 121,094,112.04
  5. Step 5: Solve for x
    x = 121,094,112.04/12,569.90
  6. Step 6: Final answer
    x = 9,633.66

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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.