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Finding the Fourth Proportional to 2,646.54, 3,643.90 and 2,015.06

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Solution

The fourth proportional to 2,646.54, 3,643.90 and 2,015.06 is: 2,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.54 : 3,643.90 = 2,015.06 : x
  2. Step 2: Convert to fraction form
    2,646.54/3,643.90 = 2,015.06/x
  3. Step 3: Cross multiply
    2,646.54x = 3,643.90 × 2,015.06
  4. Step 4: Simplify right side
    2,646.54x = 7,342,677.13
  5. Step 5: Solve for x
    x = 7,342,677.13/2,646.54
  6. Step 6: Final answer
    x = 2,774.44

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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.