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Finding the Fourth Proportional to 3,210.95, 4,816.68 and 902.45

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Solution

The fourth proportional to 3,210.95, 4,816.68 and 902.45 is: 1,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.95 : 4,816.68 = 902.45 : x
  2. Step 2: Convert to fraction form
    3,210.95/4,816.68 = 902.45/x
  3. Step 3: Cross multiply
    3,210.95x = 4,816.68 × 902.45
  4. Step 4: Simplify right side
    3,210.95x = 4,346,788.78
  5. Step 5: Solve for x
    x = 4,346,788.78/3,210.95
  6. Step 6: Final answer
    x = 1,353.74

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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.