Home / 1,824.90-2,740.10-1,458.60

Finding the Fourth Proportional to 1,824.90, 2,740.10 and 1,458.60

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Solution

The fourth proportional to 1,824.90, 2,740.10 and 1,458.60 is: 2,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.90 : 2,740.10 = 1,458.60 : x
  2. Step 2: Convert to fraction form
    1,824.90/2,740.10 = 1,458.60/x
  3. Step 3: Cross multiply
    1,824.90x = 2,740.10 × 1,458.60
  4. Step 4: Simplify right side
    1,824.90x = 3,996,709.86
  5. Step 5: Solve for x
    x = 3,996,709.86/1,824.90
  6. Step 6: Final answer
    x = 2,190.10

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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.