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Finding the Fourth Proportional to 3,647.40, 5,471.10 and 1,014.90

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Solution

The fourth proportional to 3,647.40, 5,471.10 and 1,014.90 is: 1,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.40 : 5,471.10 = 1,014.90 : x
  2. Step 2: Convert to fraction form
    3,647.40/5,471.10 = 1,014.90/x
  3. Step 3: Cross multiply
    3,647.40x = 5,471.10 × 1,014.90
  4. Step 4: Simplify right side
    3,647.40x = 5,552,619.39
  5. Step 5: Solve for x
    x = 5,552,619.39/3,647.40
  6. Step 6: Final answer
    x = 1,522.35

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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.