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Finding the Fourth Proportional to 2,509.63, 3,463.13 and 1,390.52

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Solution

The fourth proportional to 2,509.63, 3,463.13 and 1,390.52 is: 1,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.63 : 3,463.13 = 1,390.52 : x
  2. Step 2: Convert to fraction form
    2,509.63/3,463.13 = 1,390.52/x
  3. Step 3: Cross multiply
    2,509.63x = 3,463.13 × 1,390.52
  4. Step 4: Simplify right side
    2,509.63x = 4,815,563.66
  5. Step 5: Solve for x
    x = 4,815,563.66/2,509.63
  6. Step 6: Final answer
    x = 1,918.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.