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Finding the Fourth Proportional to 12,608.51, 17,398.95 and 7,569.75

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Solution

The fourth proportional to 12,608.51, 17,398.95 and 7,569.75 is: 10,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.51 : 17,398.95 = 7,569.75 : x
  2. Step 2: Convert to fraction form
    12,608.51/17,398.95 = 7,569.75/x
  3. Step 3: Cross multiply
    12,608.51x = 17,398.95 × 7,569.75
  4. Step 4: Simplify right side
    12,608.51x = 131,705,781.20
  5. Step 5: Solve for x
    x = 131,705,781.20/12,608.51
  6. Step 6: Final answer
    x = 10,445.78

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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.