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Finding the Fourth Proportional to 2,607.48, 3,911.24 and 876.11

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Solution

The fourth proportional to 2,607.48, 3,911.24 and 876.11 is: 1,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.48 : 3,911.24 = 876.11 : x
  2. Step 2: Convert to fraction form
    2,607.48/3,911.24 = 876.11/x
  3. Step 3: Cross multiply
    2,607.48x = 3,911.24 × 876.11
  4. Step 4: Simplify right side
    2,607.48x = 3,426,659.11
  5. Step 5: Solve for x
    x = 3,426,659.11/2,607.48
  6. Step 6: Final answer
    x = 1,314.17

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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.