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Finding the Fourth Proportional to 5,606.78, 8,410.20 and 1,711.40

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Solution

The fourth proportional to 5,606.78, 8,410.20 and 1,711.40 is: 2,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.78 : 8,410.20 = 1,711.40 : x
  2. Step 2: Convert to fraction form
    5,606.78/8,410.20 = 1,711.40/x
  3. Step 3: Cross multiply
    5,606.78x = 8,410.20 × 1,711.40
  4. Step 4: Simplify right side
    5,606.78x = 14,393,216.28
  5. Step 5: Solve for x
    x = 14,393,216.28/5,606.78
  6. Step 6: Final answer
    x = 2,567.11

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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.