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Finding the Fourth Proportional to 3,275.39, 4,913.00 and 810.16

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Solution

The fourth proportional to 3,275.39, 4,913.00 and 810.16 is: 1,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.39 : 4,913.00 = 810.16 : x
  2. Step 2: Convert to fraction form
    3,275.39/4,913.00 = 810.16/x
  3. Step 3: Cross multiply
    3,275.39x = 4,913.00 × 810.16
  4. Step 4: Simplify right side
    3,275.39x = 3,980,302.78
  5. Step 5: Solve for x
    x = 3,980,302.78/3,275.39
  6. Step 6: Final answer
    x = 1,215.21

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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.