Home / 1,829.34-2,743.70-530.50

Finding the Fourth Proportional to 1,829.34, 2,743.70 and 530.50

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Solution

The fourth proportional to 1,829.34, 2,743.70 and 530.50 is: 795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.34 : 2,743.70 = 530.50 : x
  2. Step 2: Convert to fraction form
    1,829.34/2,743.70 = 530.50/x
  3. Step 3: Cross multiply
    1,829.34x = 2,743.70 × 530.50
  4. Step 4: Simplify right side
    1,829.34x = 1,455,532.85
  5. Step 5: Solve for x
    x = 1,455,532.85/1,829.34
  6. Step 6: Final answer
    x = 795.66

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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.