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Finding the Fourth Proportional to 21,410.70, 32,111.16 and 8,935.08

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Solution

The fourth proportional to 21,410.70, 32,111.16 and 8,935.08 is: 13,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.70 : 32,111.16 = 8,935.08 : x
  2. Step 2: Convert to fraction form
    21,410.70/32,111.16 = 8,935.08/x
  3. Step 3: Cross multiply
    21,410.70x = 32,111.16 × 8,935.08
  4. Step 4: Simplify right side
    21,410.70x = 286,915,783.49
  5. Step 5: Solve for x
    x = 286,915,783.49/21,410.70
  6. Step 6: Final answer
    x = 13,400.58

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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.