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Finding the Fourth Proportional to 9,906, 14,860.56 and 4,710.12

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Solution

The fourth proportional to 9,906, 14,860.56 and 4,710.12 is: 7,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 14,860.56 = 4,710.12 : x
  2. Step 2: Convert to fraction form
    9,906/14,860.56 = 4,710.12/x
  3. Step 3: Cross multiply
    9,906x = 14,860.56 × 4,710.12
  4. Step 4: Simplify right side
    9,906x = 69,995,020.87
  5. Step 5: Solve for x
    x = 69,995,020.87/9,906
  6. Step 6: Final answer
    x = 7,065.92

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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.