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Finding the Fourth Proportional to 2,567.41, 3,851.08 and 619.60

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Solution

The fourth proportional to 2,567.41, 3,851.08 and 619.60 is: 929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.41 : 3,851.08 = 619.60 : x
  2. Step 2: Convert to fraction form
    2,567.41/3,851.08 = 619.60/x
  3. Step 3: Cross multiply
    2,567.41x = 3,851.08 × 619.60
  4. Step 4: Simplify right side
    2,567.41x = 2,386,117.99
  5. Step 5: Solve for x
    x = 2,386,117.99/2,567.41
  6. Step 6: Final answer
    x = 929.39

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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.