Home / 1,597.14-2,396.25-947.10

Finding the Fourth Proportional to 1,597.14, 2,396.25 and 947.10

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Solution

The fourth proportional to 1,597.14, 2,396.25 and 947.10 is: 1,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.14 : 2,396.25 = 947.10 : x
  2. Step 2: Convert to fraction form
    1,597.14/2,396.25 = 947.10/x
  3. Step 3: Cross multiply
    1,597.14x = 2,396.25 × 947.10
  4. Step 4: Simplify right side
    1,597.14x = 2,269,488.38
  5. Step 5: Solve for x
    x = 2,269,488.38/1,597.14
  6. Step 6: Final answer
    x = 1,420.97

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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.