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Finding the Fourth Proportional to 1,828.66, 2,742.97 and 530.12

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Solution

The fourth proportional to 1,828.66, 2,742.97 and 530.12 is: 795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.66 : 2,742.97 = 530.12 : x
  2. Step 2: Convert to fraction form
    1,828.66/2,742.97 = 530.12/x
  3. Step 3: Cross multiply
    1,828.66x = 2,742.97 × 530.12
  4. Step 4: Simplify right side
    1,828.66x = 1,454,103.26
  5. Step 5: Solve for x
    x = 1,454,103.26/1,828.66
  6. Step 6: Final answer
    x = 795.17

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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.