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Finding the Fourth Proportional to 10,347.84, 15,516.72 and 3,420

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Solution

The fourth proportional to 10,347.84, 15,516.72 and 3,420 is: 5,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.84 : 15,516.72 = 3,420 : x
  2. Step 2: Convert to fraction form
    10,347.84/15,516.72 = 3,420/x
  3. Step 3: Cross multiply
    10,347.84x = 15,516.72 × 3,420
  4. Step 4: Simplify right side
    10,347.84x = 53,067,182.40
  5. Step 5: Solve for x
    x = 53,067,182.40/10,347.84
  6. Step 6: Final answer
    x = 5,128.33

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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.