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Finding the Fourth Proportional to 2,383.26, 3,574.76 and 651.76

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Solution

The fourth proportional to 2,383.26, 3,574.76 and 651.76 is: 977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.26 : 3,574.76 = 651.76 : x
  2. Step 2: Convert to fraction form
    2,383.26/3,574.76 = 651.76/x
  3. Step 3: Cross multiply
    2,383.26x = 3,574.76 × 651.76
  4. Step 4: Simplify right side
    2,383.26x = 2,329,885.58
  5. Step 5: Solve for x
    x = 2,329,885.58/2,383.26
  6. Step 6: Final answer
    x = 977.60

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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.