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Finding the Fourth Proportional to 2,208.96, 3,312.48 and 910.08

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Solution

The fourth proportional to 2,208.96, 3,312.48 and 910.08 is: 1,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.96 : 3,312.48 = 910.08 : x
  2. Step 2: Convert to fraction form
    2,208.96/3,312.48 = 910.08/x
  3. Step 3: Cross multiply
    2,208.96x = 3,312.48 × 910.08
  4. Step 4: Simplify right side
    2,208.96x = 3,014,621.80
  5. Step 5: Solve for x
    x = 3,014,621.80/2,208.96
  6. Step 6: Final answer
    x = 1,364.72

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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.