Home / 1,828.54-2,742.96-530.11

Finding the Fourth Proportional to 1,828.54, 2,742.96 and 530.11

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Solution

The fourth proportional to 1,828.54, 2,742.96 and 530.11 is: 795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.54 : 2,742.96 = 530.11 : x
  2. Step 2: Convert to fraction form
    1,828.54/2,742.96 = 530.11/x
  3. Step 3: Cross multiply
    1,828.54x = 2,742.96 × 530.11
  4. Step 4: Simplify right side
    1,828.54x = 1,454,070.53
  5. Step 5: Solve for x
    x = 1,454,070.53/1,828.54
  6. Step 6: Final answer
    x = 795.21

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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.