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Finding the Fourth Proportional to 21,410.77, 32,094.08 and 8,938.05

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Solution

The fourth proportional to 21,410.77, 32,094.08 and 8,938.05 is: 13,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.77 : 32,094.08 = 8,938.05 : x
  2. Step 2: Convert to fraction form
    21,410.77/32,094.08 = 8,938.05/x
  3. Step 3: Cross multiply
    21,410.77x = 32,094.08 × 8,938.05
  4. Step 4: Simplify right side
    21,410.77x = 286,858,491.74
  5. Step 5: Solve for x
    x = 286,858,491.74/21,410.77
  6. Step 6: Final answer
    x = 13,397.86

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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.