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Finding the Fourth Proportional to 1,931.32, 2,897.34 and 632.62

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Solution

The fourth proportional to 1,931.32, 2,897.34 and 632.62 is: 949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.32 : 2,897.34 = 632.62 : x
  2. Step 2: Convert to fraction form
    1,931.32/2,897.34 = 632.62/x
  3. Step 3: Cross multiply
    1,931.32x = 2,897.34 × 632.62
  4. Step 4: Simplify right side
    1,931.32x = 1,832,915.23
  5. Step 5: Solve for x
    x = 1,832,915.23/1,931.32
  6. Step 6: Final answer
    x = 949.05

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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.