Home / 1,829-2,743.50-530.48

Finding the Fourth Proportional to 1,829, 2,743.50 and 530.48

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Solution

The fourth proportional to 1,829, 2,743.50 and 530.48 is: 795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829 : 2,743.50 = 530.48 : x
  2. Step 2: Convert to fraction form
    1,829/2,743.50 = 530.48/x
  3. Step 3: Cross multiply
    1,829x = 2,743.50 × 530.48
  4. Step 4: Simplify right side
    1,829x = 1,455,371.88
  5. Step 5: Solve for x
    x = 1,455,371.88/1,829
  6. Step 6: Final answer
    x = 795.72

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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.