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Finding the Fourth Proportional to 2,106.48, 3,158.75 and 645.32

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Solution

The fourth proportional to 2,106.48, 3,158.75 and 645.32 is: 967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.48 : 3,158.75 = 645.32 : x
  2. Step 2: Convert to fraction form
    2,106.48/3,158.75 = 645.32/x
  3. Step 3: Cross multiply
    2,106.48x = 3,158.75 × 645.32
  4. Step 4: Simplify right side
    2,106.48x = 2,038,404.55
  5. Step 5: Solve for x
    x = 2,038,404.55/2,106.48
  6. Step 6: Final answer
    x = 967.68

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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.