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Finding the Fourth Proportional to 21,887.40, 32,835.78 and 8,036.40

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Solution

The fourth proportional to 21,887.40, 32,835.78 and 8,036.40 is: 12,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.40 : 32,835.78 = 8,036.40 : x
  2. Step 2: Convert to fraction form
    21,887.40/32,835.78 = 8,036.40/x
  3. Step 3: Cross multiply
    21,887.40x = 32,835.78 × 8,036.40
  4. Step 4: Simplify right side
    21,887.40x = 263,881,462.39
  5. Step 5: Solve for x
    x = 263,881,462.39/21,887.40
  6. Step 6: Final answer
    x = 12,056.32

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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.