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Finding the Fourth Proportional to 5,265.93, 7,894.30 and 1,978.14

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Solution

The fourth proportional to 5,265.93, 7,894.30 and 1,978.14 is: 2,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.93 : 7,894.30 = 1,978.14 : x
  2. Step 2: Convert to fraction form
    5,265.93/7,894.30 = 1,978.14/x
  3. Step 3: Cross multiply
    5,265.93x = 7,894.30 × 1,978.14
  4. Step 4: Simplify right side
    5,265.93x = 15,616,030.60
  5. Step 5: Solve for x
    x = 15,616,030.60/5,265.93
  6. Step 6: Final answer
    x = 2,965.48

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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.