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Finding the Fourth Proportional to 3,630.06, 5,431.10 and 3,214.53

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Solution

The fourth proportional to 3,630.06, 5,431.10 and 3,214.53 is: 4,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.06 : 5,431.10 = 3,214.53 : x
  2. Step 2: Convert to fraction form
    3,630.06/5,431.10 = 3,214.53/x
  3. Step 3: Cross multiply
    3,630.06x = 5,431.10 × 3,214.53
  4. Step 4: Simplify right side
    3,630.06x = 17,458,417.81
  5. Step 5: Solve for x
    x = 17,458,417.81/3,630.06
  6. Step 6: Final answer
    x = 4,809.40

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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.