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Finding the Fourth Proportional to 2,106.03, 3,159.03 and 645.15

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Solution

The fourth proportional to 2,106.03, 3,159.03 and 645.15 is: 967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.03 : 3,159.03 = 645.15 : x
  2. Step 2: Convert to fraction form
    2,106.03/3,159.03 = 645.15/x
  3. Step 3: Cross multiply
    2,106.03x = 3,159.03 × 645.15
  4. Step 4: Simplify right side
    2,106.03x = 2,038,048.20
  5. Step 5: Solve for x
    x = 2,038,048.20/2,106.03
  6. Step 6: Final answer
    x = 967.72

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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.