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Finding the Fourth Proportional to 21,478.16, 32,216.54 and 8,827.48

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Solution

The fourth proportional to 21,478.16, 32,216.54 and 8,827.48 is: 13,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.16 : 32,216.54 = 8,827.48 : x
  2. Step 2: Convert to fraction form
    21,478.16/32,216.54 = 8,827.48/x
  3. Step 3: Cross multiply
    21,478.16x = 32,216.54 × 8,827.48
  4. Step 4: Simplify right side
    21,478.16x = 284,390,858.65
  5. Step 5: Solve for x
    x = 284,390,858.65/21,478.16
  6. Step 6: Final answer
    x = 13,240.93

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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.