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Finding the Fourth Proportional to 4,343, 6,515.40 and 1,421

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Solution

The fourth proportional to 4,343, 6,515.40 and 1,421 is: 2,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343 : 6,515.40 = 1,421 : x
  2. Step 2: Convert to fraction form
    4,343/6,515.40 = 1,421/x
  3. Step 3: Cross multiply
    4,343x = 6,515.40 × 1,421
  4. Step 4: Simplify right side
    4,343x = 9,258,383.40
  5. Step 5: Solve for x
    x = 9,258,383.40/4,343
  6. Step 6: Final answer
    x = 2,131.79

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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.