Home / 1,830.96-2,746.40-532.54

Finding the Fourth Proportional to 1,830.96, 2,746.40 and 532.54

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Solution

The fourth proportional to 1,830.96, 2,746.40 and 532.54 is: 798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.96 : 2,746.40 = 532.54 : x
  2. Step 2: Convert to fraction form
    1,830.96/2,746.40 = 532.54/x
  3. Step 3: Cross multiply
    1,830.96x = 2,746.40 × 532.54
  4. Step 4: Simplify right side
    1,830.96x = 1,462,567.86
  5. Step 5: Solve for x
    x = 1,462,567.86/1,830.96
  6. Step 6: Final answer
    x = 798.80

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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.