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Finding the Fourth Proportional to 16,436, 22,681.76 and 8,984

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Solution

The fourth proportional to 16,436, 22,681.76 and 8,984 is: 12,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436 : 22,681.76 = 8,984 : x
  2. Step 2: Convert to fraction form
    16,436/22,681.76 = 8,984/x
  3. Step 3: Cross multiply
    16,436x = 22,681.76 × 8,984
  4. Step 4: Simplify right side
    16,436x = 203,772,931.84
  5. Step 5: Solve for x
    x = 203,772,931.84/16,436
  6. Step 6: Final answer
    x = 12,397.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.