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Finding the Fourth Proportional to 2,567.42, 3,851.13 and 619.63

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Solution

The fourth proportional to 2,567.42, 3,851.13 and 619.63 is: 929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.42 : 3,851.13 = 619.63 : x
  2. Step 2: Convert to fraction form
    2,567.42/3,851.13 = 619.63/x
  3. Step 3: Cross multiply
    2,567.42x = 3,851.13 × 619.63
  4. Step 4: Simplify right side
    2,567.42x = 2,386,275.68
  5. Step 5: Solve for x
    x = 2,386,275.68/2,567.42
  6. Step 6: Final answer
    x = 929.45

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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.