Home / 1,829.12-2,743.24-530.68

Finding the Fourth Proportional to 1,829.12, 2,743.24 and 530.68

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Solution

The fourth proportional to 1,829.12, 2,743.24 and 530.68 is: 795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.12 : 2,743.24 = 530.68 : x
  2. Step 2: Convert to fraction form
    1,829.12/2,743.24 = 530.68/x
  3. Step 3: Cross multiply
    1,829.12x = 2,743.24 × 530.68
  4. Step 4: Simplify right side
    1,829.12x = 1,455,782.60
  5. Step 5: Solve for x
    x = 1,455,782.60/1,829.12
  6. Step 6: Final answer
    x = 795.89

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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.