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Finding the Fourth Proportional to 2,465.91, 3,697.52 and 821.88

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Solution

The fourth proportional to 2,465.91, 3,697.52 and 821.88 is: 1,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.91 : 3,697.52 = 821.88 : x
  2. Step 2: Convert to fraction form
    2,465.91/3,697.52 = 821.88/x
  3. Step 3: Cross multiply
    2,465.91x = 3,697.52 × 821.88
  4. Step 4: Simplify right side
    2,465.91x = 3,038,913.63
  5. Step 5: Solve for x
    x = 3,038,913.63/2,465.91
  6. Step 6: Final answer
    x = 1,232.37

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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.