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Finding the Fourth Proportional to 11,788.74, 17,653.95 and 7,392.87

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Solution

The fourth proportional to 11,788.74, 17,653.95 and 7,392.87 is: 11,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.74 : 17,653.95 = 7,392.87 : x
  2. Step 2: Convert to fraction form
    11,788.74/17,653.95 = 7,392.87/x
  3. Step 3: Cross multiply
    11,788.74x = 17,653.95 × 7,392.87
  4. Step 4: Simplify right side
    11,788.74x = 130,513,357.34
  5. Step 5: Solve for x
    x = 130,513,357.34/11,788.74
  6. Step 6: Final answer
    x = 11,071.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.