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Finding the Fourth Proportional to 3,114.48, 4,298 and 1,698.16

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Solution

The fourth proportional to 3,114.48, 4,298 and 1,698.16 is: 2,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.48 : 4,298 = 1,698.16 : x
  2. Step 2: Convert to fraction form
    3,114.48/4,298 = 1,698.16/x
  3. Step 3: Cross multiply
    3,114.48x = 4,298 × 1,698.16
  4. Step 4: Simplify right side
    3,114.48x = 7,298,691.68
  5. Step 5: Solve for x
    x = 7,298,691.68/3,114.48
  6. Step 6: Final answer
    x = 2,343.47

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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.