Home / 5,109.20-7,663.80-1,822.40

Finding the Fourth Proportional to 5,109.20, 7,663.80 and 1,822.40

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Solution

The fourth proportional to 5,109.20, 7,663.80 and 1,822.40 is: 2,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.20 : 7,663.80 = 1,822.40 : x
  2. Step 2: Convert to fraction form
    5,109.20/7,663.80 = 1,822.40/x
  3. Step 3: Cross multiply
    5,109.20x = 7,663.80 × 1,822.40
  4. Step 4: Simplify right side
    5,109.20x = 13,966,509.12
  5. Step 5: Solve for x
    x = 13,966,509.12/5,109.20
  6. Step 6: Final answer
    x = 2,733.60

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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.