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Finding the Fourth Proportional to 21,894.16, 32,836.42 and 6,308.40

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Solution

The fourth proportional to 21,894.16, 32,836.42 and 6,308.40 is: 9,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.16 : 32,836.42 = 6,308.40 : x
  2. Step 2: Convert to fraction form
    21,894.16/32,836.42 = 6,308.40/x
  3. Step 3: Cross multiply
    21,894.16x = 32,836.42 × 6,308.40
  4. Step 4: Simplify right side
    21,894.16x = 207,145,271.93
  5. Step 5: Solve for x
    x = 207,145,271.93/21,894.16
  6. Step 6: Final answer
    x = 9,461.21

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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.