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Finding the Fourth Proportional to 11,409.47, 15,755.84 and 10,788.22

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Solution

The fourth proportional to 11,409.47, 15,755.84 and 10,788.22 is: 14,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.47 : 15,755.84 = 10,788.22 : x
  2. Step 2: Convert to fraction form
    11,409.47/15,755.84 = 10,788.22/x
  3. Step 3: Cross multiply
    11,409.47x = 15,755.84 × 10,788.22
  4. Step 4: Simplify right side
    11,409.47x = 169,977,374.87
  5. Step 5: Solve for x
    x = 169,977,374.87/11,409.47
  6. Step 6: Final answer
    x = 14,897.93

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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.