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Finding the Fourth Proportional to 3,419.64, 5,130 and 1,472.40

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Solution

The fourth proportional to 3,419.64, 5,130 and 1,472.40 is: 2,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.64 : 5,130 = 1,472.40 : x
  2. Step 2: Convert to fraction form
    3,419.64/5,130 = 1,472.40/x
  3. Step 3: Cross multiply
    3,419.64x = 5,130 × 1,472.40
  4. Step 4: Simplify right side
    3,419.64x = 7,553,412.00
  5. Step 5: Solve for x
    x = 7,553,412.00/3,419.64
  6. Step 6: Final answer
    x = 2,208.83

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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.