Home / 2,209.19-3,312.04-821.77

Finding the Fourth Proportional to 2,209.19, 3,312.04 and 821.77

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Solution

The fourth proportional to 2,209.19, 3,312.04 and 821.77 is: 1,232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.19 : 3,312.04 = 821.77 : x
  2. Step 2: Convert to fraction form
    2,209.19/3,312.04 = 821.77/x
  3. Step 3: Cross multiply
    2,209.19x = 3,312.04 × 821.77
  4. Step 4: Simplify right side
    2,209.19x = 2,721,718.55
  5. Step 5: Solve for x
    x = 2,721,718.55/2,209.19
  6. Step 6: Final answer
    x = 1,232.00

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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.