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Finding the Fourth Proportional to 2,378.42, 3,567.81 and 647

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Solution

The fourth proportional to 2,378.42, 3,567.81 and 647 is: 970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.42 : 3,567.81 = 647 : x
  2. Step 2: Convert to fraction form
    2,378.42/3,567.81 = 647/x
  3. Step 3: Cross multiply
    2,378.42x = 3,567.81 × 647
  4. Step 4: Simplify right side
    2,378.42x = 2,308,373.07
  5. Step 5: Solve for x
    x = 2,308,373.07/2,378.42
  6. Step 6: Final answer
    x = 970.55

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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.