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Finding the Fourth Proportional to 12,569.78, 17,346.71 and 7,193.09

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Solution

The fourth proportional to 12,569.78, 17,346.71 and 7,193.09 is: 9,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.78 : 17,346.71 = 7,193.09 : x
  2. Step 2: Convert to fraction form
    12,569.78/17,346.71 = 7,193.09/x
  3. Step 3: Cross multiply
    12,569.78x = 17,346.71 × 7,193.09
  4. Step 4: Simplify right side
    12,569.78x = 124,776,323.53
  5. Step 5: Solve for x
    x = 124,776,323.53/12,569.78
  6. Step 6: Final answer
    x = 9,926.70

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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.