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Finding the Fourth Proportional to 4,347, 6,516.66 and 2,124.66

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Solution

The fourth proportional to 4,347, 6,516.66 and 2,124.66 is: 3,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347 : 6,516.66 = 2,124.66 : x
  2. Step 2: Convert to fraction form
    4,347/6,516.66 = 2,124.66/x
  3. Step 3: Cross multiply
    4,347x = 6,516.66 × 2,124.66
  4. Step 4: Simplify right side
    4,347x = 13,845,686.84
  5. Step 5: Solve for x
    x = 13,845,686.84/4,347
  6. Step 6: Final answer
    x = 3,185.11

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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.