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Finding the Fourth Proportional to 12,788.14, 17,646.51 and 7,122.46

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Solution

The fourth proportional to 12,788.14, 17,646.51 and 7,122.46 is: 9,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.14 : 17,646.51 = 7,122.46 : x
  2. Step 2: Convert to fraction form
    12,788.14/17,646.51 = 7,122.46/x
  3. Step 3: Cross multiply
    12,788.14x = 17,646.51 × 7,122.46
  4. Step 4: Simplify right side
    12,788.14x = 125,686,561.61
  5. Step 5: Solve for x
    x = 125,686,561.61/12,788.14
  6. Step 6: Final answer
    x = 9,828.37

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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.