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Finding the Fourth Proportional to 6,661.52, 9,979.28 and 4,346

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Solution

The fourth proportional to 6,661.52, 9,979.28 and 4,346 is: 6,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.52 : 9,979.28 = 4,346 : x
  2. Step 2: Convert to fraction form
    6,661.52/9,979.28 = 4,346/x
  3. Step 3: Cross multiply
    6,661.52x = 9,979.28 × 4,346
  4. Step 4: Simplify right side
    6,661.52x = 43,369,950.88
  5. Step 5: Solve for x
    x = 43,369,950.88/6,661.52
  6. Step 6: Final answer
    x = 6,510.52

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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.