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Finding the Fourth Proportional to 5,614.40, 8,420.80 and 1,916.80

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Solution

The fourth proportional to 5,614.40, 8,420.80 and 1,916.80 is: 2,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.40 : 8,420.80 = 1,916.80 : x
  2. Step 2: Convert to fraction form
    5,614.40/8,420.80 = 1,916.80/x
  3. Step 3: Cross multiply
    5,614.40x = 8,420.80 × 1,916.80
  4. Step 4: Simplify right side
    5,614.40x = 16,140,989.44
  5. Step 5: Solve for x
    x = 16,140,989.44/5,614.40
  6. Step 6: Final answer
    x = 2,874.93

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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.