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Finding the Fourth Proportional to 5,246.52, 7,869.78 and 1,783.77

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Solution

The fourth proportional to 5,246.52, 7,869.78 and 1,783.77 is: 2,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.52 : 7,869.78 = 1,783.77 : x
  2. Step 2: Convert to fraction form
    5,246.52/7,869.78 = 1,783.77/x
  3. Step 3: Cross multiply
    5,246.52x = 7,869.78 × 1,783.77
  4. Step 4: Simplify right side
    5,246.52x = 14,037,829.20
  5. Step 5: Solve for x
    x = 14,037,829.20/5,246.52
  6. Step 6: Final answer
    x = 2,675.65

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Similar ratio
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1.5x scale

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.