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Finding the Fourth Proportional to 15,783.76, 21,781.38 and 8,710

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Solution

The fourth proportional to 15,783.76, 21,781.38 and 8,710 is: 12,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.76 : 21,781.38 = 8,710 : x
  2. Step 2: Convert to fraction form
    15,783.76/21,781.38 = 8,710/x
  3. Step 3: Cross multiply
    15,783.76x = 21,781.38 × 8,710
  4. Step 4: Simplify right side
    15,783.76x = 189,715,819.80
  5. Step 5: Solve for x
    x = 189,715,819.80/15,783.76
  6. Step 6: Final answer
    x = 12,019.68

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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.