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Finding the Fourth Proportional to 2,339.31, 3,510.99 and 953.41

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Solution

The fourth proportional to 2,339.31, 3,510.99 and 953.41 is: 1,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.31 : 3,510.99 = 953.41 : x
  2. Step 2: Convert to fraction form
    2,339.31/3,510.99 = 953.41/x
  3. Step 3: Cross multiply
    2,339.31x = 3,510.99 × 953.41
  4. Step 4: Simplify right side
    2,339.31x = 3,347,408.21
  5. Step 5: Solve for x
    x = 3,347,408.21/2,339.31
  6. Step 6: Final answer
    x = 1,430.94

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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.