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Finding the Fourth Proportional to 3,643.47, 5,460.60 and 1,977.51

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Solution

The fourth proportional to 3,643.47, 5,460.60 and 1,977.51 is: 2,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.47 : 5,460.60 = 1,977.51 : x
  2. Step 2: Convert to fraction form
    3,643.47/5,460.60 = 1,977.51/x
  3. Step 3: Cross multiply
    3,643.47x = 5,460.60 × 1,977.51
  4. Step 4: Simplify right side
    3,643.47x = 10,798,391.11
  5. Step 5: Solve for x
    x = 10,798,391.11/3,643.47
  6. Step 6: Final answer
    x = 2,963.77

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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.