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Finding the Fourth Proportional to 1,931.23, 2,896.98 and 632.71

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Solution

The fourth proportional to 1,931.23, 2,896.98 and 632.71 is: 949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.23 : 2,896.98 = 632.71 : x
  2. Step 2: Convert to fraction form
    1,931.23/2,896.98 = 632.71/x
  3. Step 3: Cross multiply
    1,931.23x = 2,896.98 × 632.71
  4. Step 4: Simplify right side
    1,931.23x = 1,832,948.22
  5. Step 5: Solve for x
    x = 1,832,948.22/1,931.23
  6. Step 6: Final answer
    x = 949.11

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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.