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Finding the Fourth Proportional to 1,931.40, 2,896.76 and 632.87

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Solution

The fourth proportional to 1,931.40, 2,896.76 and 632.87 is: 949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.40 : 2,896.76 = 632.87 : x
  2. Step 2: Convert to fraction form
    1,931.40/2,896.76 = 632.87/x
  3. Step 3: Cross multiply
    1,931.40x = 2,896.76 × 632.87
  4. Step 4: Simplify right side
    1,931.40x = 1,833,270.46
  5. Step 5: Solve for x
    x = 1,833,270.46/1,931.40
  6. Step 6: Final answer
    x = 949.19

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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.