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Finding the Fourth Proportional to 10,710.78, 14,780.64 and 5,930.45

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Solution

The fourth proportional to 10,710.78, 14,780.64 and 5,930.45 is: 8,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.78 : 14,780.64 = 5,930.45 : x
  2. Step 2: Convert to fraction form
    10,710.78/14,780.64 = 5,930.45/x
  3. Step 3: Cross multiply
    10,710.78x = 14,780.64 × 5,930.45
  4. Step 4: Simplify right side
    10,710.78x = 87,655,772.58
  5. Step 5: Solve for x
    x = 87,655,772.58/10,710.78
  6. Step 6: Final answer
    x = 8,183.88

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1.5x scale

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.