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Finding the Fourth Proportional to 9,781, 14,671.50 and 4,309

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Solution

The fourth proportional to 9,781, 14,671.50 and 4,309 is: 6,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781 : 14,671.50 = 4,309 : x
  2. Step 2: Convert to fraction form
    9,781/14,671.50 = 4,309/x
  3. Step 3: Cross multiply
    9,781x = 14,671.50 × 4,309
  4. Step 4: Simplify right side
    9,781x = 63,219,493.50
  5. Step 5: Solve for x
    x = 63,219,493.50/9,781
  6. Step 6: Final answer
    x = 6,463.50

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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.