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Finding the Fourth Proportional to 2,378.30, 3,567.39 and 646.93

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Solution

The fourth proportional to 2,378.30, 3,567.39 and 646.93 is: 970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.30 : 3,567.39 = 646.93 : x
  2. Step 2: Convert to fraction form
    2,378.30/3,567.39 = 646.93/x
  3. Step 3: Cross multiply
    2,378.30x = 3,567.39 × 646.93
  4. Step 4: Simplify right side
    2,378.30x = 2,307,851.61
  5. Step 5: Solve for x
    x = 2,307,851.61/2,378.30
  6. Step 6: Final answer
    x = 970.38

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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.