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Finding the Fourth Proportional to 2,403.74, 3,314.49 and 1,971.26

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Solution

The fourth proportional to 2,403.74, 3,314.49 and 1,971.26 is: 2,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.74 : 3,314.49 = 1,971.26 : x
  2. Step 2: Convert to fraction form
    2,403.74/3,314.49 = 1,971.26/x
  3. Step 3: Cross multiply
    2,403.74x = 3,314.49 × 1,971.26
  4. Step 4: Simplify right side
    2,403.74x = 6,533,710.02
  5. Step 5: Solve for x
    x = 6,533,710.02/2,403.74
  6. Step 6: Final answer
    x = 2,718.14

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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.