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Finding the Fourth Proportional to 5,478.71, 8,217.28 and 1,780.99

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Solution

The fourth proportional to 5,478.71, 8,217.28 and 1,780.99 is: 2,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.71 : 8,217.28 = 1,780.99 : x
  2. Step 2: Convert to fraction form
    5,478.71/8,217.28 = 1,780.99/x
  3. Step 3: Cross multiply
    5,478.71x = 8,217.28 × 1,780.99
  4. Step 4: Simplify right side
    5,478.71x = 14,634,875.19
  5. Step 5: Solve for x
    x = 14,634,875.19/5,478.71
  6. Step 6: Final answer
    x = 2,671.23

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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.