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Finding the Fourth Proportional to 5,264.93, 7,892.80 and 1,977.14

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Solution

The fourth proportional to 5,264.93, 7,892.80 and 1,977.14 is: 2,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.93 : 7,892.80 = 1,977.14 : x
  2. Step 2: Convert to fraction form
    5,264.93/7,892.80 = 1,977.14/x
  3. Step 3: Cross multiply
    5,264.93x = 7,892.80 × 1,977.14
  4. Step 4: Simplify right side
    5,264.93x = 15,605,126.19
  5. Step 5: Solve for x
    x = 15,605,126.19/5,264.93
  6. Step 6: Final answer
    x = 2,963.98

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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.