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Finding the Fourth Proportional to 2,325.83, 3,210.50 and 1,540.13

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Solution

The fourth proportional to 2,325.83, 3,210.50 and 1,540.13 is: 2,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.83 : 3,210.50 = 1,540.13 : x
  2. Step 2: Convert to fraction form
    2,325.83/3,210.50 = 1,540.13/x
  3. Step 3: Cross multiply
    2,325.83x = 3,210.50 × 1,540.13
  4. Step 4: Simplify right side
    2,325.83x = 4,944,587.69
  5. Step 5: Solve for x
    x = 4,944,587.69/2,325.83
  6. Step 6: Final answer
    x = 2,125.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.