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Finding the Fourth Proportional to 3,078.60, 4,248.42 and 1,681.32

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Solution

The fourth proportional to 3,078.60, 4,248.42 and 1,681.32 is: 2,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.60 : 4,248.42 = 1,681.32 : x
  2. Step 2: Convert to fraction form
    3,078.60/4,248.42 = 1,681.32/x
  3. Step 3: Cross multiply
    3,078.60x = 4,248.42 × 1,681.32
  4. Step 4: Simplify right side
    3,078.60x = 7,142,953.51
  5. Step 5: Solve for x
    x = 7,142,953.51/3,078.60
  6. Step 6: Final answer
    x = 2,320.20

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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.