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Finding the Fourth Proportional to 30,708.71, 46,071.11 and 9,647.90

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Solution

The fourth proportional to 30,708.71, 46,071.11 and 9,647.90 is: 14,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.71 : 46,071.11 = 9,647.90 : x
  2. Step 2: Convert to fraction form
    30,708.71/46,071.11 = 9,647.90/x
  3. Step 3: Cross multiply
    30,708.71x = 46,071.11 × 9,647.90
  4. Step 4: Simplify right side
    30,708.71x = 444,489,462.17
  5. Step 5: Solve for x
    x = 444,489,462.17/30,708.71
  6. Step 6: Final answer
    x = 14,474.38

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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.