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Finding the Fourth Proportional to 2,529.74, 3,491.49 and 1,931.25

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Solution

The fourth proportional to 2,529.74, 3,491.49 and 1,931.25 is: 2,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.74 : 3,491.49 = 1,931.25 : x
  2. Step 2: Convert to fraction form
    2,529.74/3,491.49 = 1,931.25/x
  3. Step 3: Cross multiply
    2,529.74x = 3,491.49 × 1,931.25
  4. Step 4: Simplify right side
    2,529.74x = 6,742,960.40
  5. Step 5: Solve for x
    x = 6,742,960.40/2,529.74
  6. Step 6: Final answer
    x = 2,665.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.