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Finding the Fourth Proportional to 2,647.59, 3,970.90 and 1,003.59

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Solution

The fourth proportional to 2,647.59, 3,970.90 and 1,003.59 is: 1,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.59 : 3,970.90 = 1,003.59 : x
  2. Step 2: Convert to fraction form
    2,647.59/3,970.90 = 1,003.59/x
  3. Step 3: Cross multiply
    2,647.59x = 3,970.90 × 1,003.59
  4. Step 4: Simplify right side
    2,647.59x = 3,985,150.51
  5. Step 5: Solve for x
    x = 3,985,150.51/2,647.59
  6. Step 6: Final answer
    x = 1,505.20

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1.5x scale

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.