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Finding the Fourth Proportional to 3,647.66, 5,462.04 and 2,656.40

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Solution

The fourth proportional to 3,647.66, 5,462.04 and 2,656.40 is: 3,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.66 : 5,462.04 = 2,656.40 : x
  2. Step 2: Convert to fraction form
    3,647.66/5,462.04 = 2,656.40/x
  3. Step 3: Cross multiply
    3,647.66x = 5,462.04 × 2,656.40
  4. Step 4: Simplify right side
    3,647.66x = 14,509,363.06
  5. Step 5: Solve for x
    x = 14,509,363.06/3,647.66
  6. Step 6: Final answer
    x = 3,977.72

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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.