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Finding the Fourth Proportional to 16,409.48, 22,642.80 and 9,335.12

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Solution

The fourth proportional to 16,409.48, 22,642.80 and 9,335.12 is: 12,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.48 : 22,642.80 = 9,335.12 : x
  2. Step 2: Convert to fraction form
    16,409.48/22,642.80 = 9,335.12/x
  3. Step 3: Cross multiply
    16,409.48x = 22,642.80 × 9,335.12
  4. Step 4: Simplify right side
    16,409.48x = 211,373,255.14
  5. Step 5: Solve for x
    x = 211,373,255.14/16,409.48
  6. Step 6: Final answer
    x = 12,881.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.