Home / 2,104.04-3,156.63-643.16

Finding the Fourth Proportional to 2,104.04, 3,156.63 and 643.16

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Solution

The fourth proportional to 2,104.04, 3,156.63 and 643.16 is: 964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.04 : 3,156.63 = 643.16 : x
  2. Step 2: Convert to fraction form
    2,104.04/3,156.63 = 643.16/x
  3. Step 3: Cross multiply
    2,104.04x = 3,156.63 × 643.16
  4. Step 4: Simplify right side
    2,104.04x = 2,030,199.15
  5. Step 5: Solve for x
    x = 2,030,199.15/2,104.04
  6. Step 6: Final answer
    x = 964.91

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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.