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Finding the Fourth Proportional to 2,407.40, 3,611.10 and 2,140.10

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Solution

The fourth proportional to 2,407.40, 3,611.10 and 2,140.10 is: 3,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.40 : 3,611.10 = 2,140.10 : x
  2. Step 2: Convert to fraction form
    2,407.40/3,611.10 = 2,140.10/x
  3. Step 3: Cross multiply
    2,407.40x = 3,611.10 × 2,140.10
  4. Step 4: Simplify right side
    2,407.40x = 7,728,115.11
  5. Step 5: Solve for x
    x = 7,728,115.11/2,407.40
  6. Step 6: Final answer
    x = 3,210.15

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Half scale
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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.