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Finding the Fourth Proportional to 2,610.70, 3,910.82 and 1,570.13

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Solution

The fourth proportional to 2,610.70, 3,910.82 and 1,570.13 is: 2,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.70 : 3,910.82 = 1,570.13 : x
  2. Step 2: Convert to fraction form
    2,610.70/3,910.82 = 1,570.13/x
  3. Step 3: Cross multiply
    2,610.70x = 3,910.82 × 1,570.13
  4. Step 4: Simplify right side
    2,610.70x = 6,140,495.81
  5. Step 5: Solve for x
    x = 6,140,495.81/2,610.70
  6. Step 6: Final answer
    x = 2,352.05

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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.