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Finding the Fourth Proportional to 2,315, 3,472.08 and 1,437.59

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Solution

The fourth proportional to 2,315, 3,472.08 and 1,437.59 is: 2,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315 : 3,472.08 = 1,437.59 : x
  2. Step 2: Convert to fraction form
    2,315/3,472.08 = 1,437.59/x
  3. Step 3: Cross multiply
    2,315x = 3,472.08 × 1,437.59
  4. Step 4: Simplify right side
    2,315x = 4,991,427.49
  5. Step 5: Solve for x
    x = 4,991,427.49/2,315
  6. Step 6: Final answer
    x = 2,156.12

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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.