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Finding the Fourth Proportional to 2,465.10, 3,698.10 and 821.77

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Solution

The fourth proportional to 2,465.10, 3,698.10 and 821.77 is: 1,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.10 : 3,698.10 = 821.77 : x
  2. Step 2: Convert to fraction form
    2,465.10/3,698.10 = 821.77/x
  3. Step 3: Cross multiply
    2,465.10x = 3,698.10 × 821.77
  4. Step 4: Simplify right side
    2,465.10x = 3,038,978.39
  5. Step 5: Solve for x
    x = 3,038,978.39/2,465.10
  6. Step 6: Final answer
    x = 1,232.80

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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.