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Finding the Fourth Proportional to 2,313.36, 3,472.20 and 1,737.36

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Solution

The fourth proportional to 2,313.36, 3,472.20 and 1,737.36 is: 2,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.36 : 3,472.20 = 1,737.36 : x
  2. Step 2: Convert to fraction form
    2,313.36/3,472.20 = 1,737.36/x
  3. Step 3: Cross multiply
    2,313.36x = 3,472.20 × 1,737.36
  4. Step 4: Simplify right side
    2,313.36x = 6,032,461.39
  5. Step 5: Solve for x
    x = 6,032,461.39/2,313.36
  6. Step 6: Final answer
    x = 2,607.66

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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.