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Finding the Fourth Proportional to 21,409.60, 32,114.40 and 11,568.10

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Solution

The fourth proportional to 21,409.60, 32,114.40 and 11,568.10 is: 17,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.60 : 32,114.40 = 11,568.10 : x
  2. Step 2: Convert to fraction form
    21,409.60/32,114.40 = 11,568.10/x
  3. Step 3: Cross multiply
    21,409.60x = 32,114.40 × 11,568.10
  4. Step 4: Simplify right side
    21,409.60x = 371,502,590.64
  5. Step 5: Solve for x
    x = 371,502,590.64/21,409.60
  6. Step 6: Final answer
    x = 17,352.15

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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.