Home / 1,828.48-2,743.12-530.06

Finding the Fourth Proportional to 1,828.48, 2,743.12 and 530.06

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Solution

The fourth proportional to 1,828.48, 2,743.12 and 530.06 is: 795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.48 : 2,743.12 = 530.06 : x
  2. Step 2: Convert to fraction form
    1,828.48/2,743.12 = 530.06/x
  3. Step 3: Cross multiply
    1,828.48x = 2,743.12 × 530.06
  4. Step 4: Simplify right side
    1,828.48x = 1,454,018.19
  5. Step 5: Solve for x
    x = 1,454,018.19/1,828.48
  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.