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Finding the Fourth Proportional to 2,690.40, 4,007.40 and 2,564.08

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Solution

The fourth proportional to 2,690.40, 4,007.40 and 2,564.08 is: 3,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.40 : 4,007.40 = 2,564.08 : x
  2. Step 2: Convert to fraction form
    2,690.40/4,007.40 = 2,564.08/x
  3. Step 3: Cross multiply
    2,690.40x = 4,007.40 × 2,564.08
  4. Step 4: Simplify right side
    2,690.40x = 10,275,294.19
  5. Step 5: Solve for x
    x = 10,275,294.19/2,690.40
  6. Step 6: Final answer
    x = 3,819.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.