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Finding the Fourth Proportional to 2,613.08, 3,602.94 and 1,914.20

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Solution

The fourth proportional to 2,613.08, 3,602.94 and 1,914.20 is: 2,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.08 : 3,602.94 = 1,914.20 : x
  2. Step 2: Convert to fraction form
    2,613.08/3,602.94 = 1,914.20/x
  3. Step 3: Cross multiply
    2,613.08x = 3,602.94 × 1,914.20
  4. Step 4: Simplify right side
    2,613.08x = 6,896,747.75
  5. Step 5: Solve for x
    x = 6,896,747.75/2,613.08
  6. Step 6: Final answer
    x = 2,639.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.