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Finding the Fourth Proportional to 2,518.54, 3,779.53 and 875.07

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Solution

The fourth proportional to 2,518.54, 3,779.53 and 875.07 is: 1,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.54 : 3,779.53 = 875.07 : x
  2. Step 2: Convert to fraction form
    2,518.54/3,779.53 = 875.07/x
  3. Step 3: Cross multiply
    2,518.54x = 3,779.53 × 875.07
  4. Step 4: Simplify right side
    2,518.54x = 3,307,351.13
  5. Step 5: Solve for x
    x = 3,307,351.13/2,518.54
  6. Step 6: Final answer
    x = 1,313.20

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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.