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Finding the Fourth Proportional to 30,672.36, 46,013.40 and 9,891

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Solution

The fourth proportional to 30,672.36, 46,013.40 and 9,891 is: 14,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.36 : 46,013.40 = 9,891 : x
  2. Step 2: Convert to fraction form
    30,672.36/46,013.40 = 9,891/x
  3. Step 3: Cross multiply
    30,672.36x = 46,013.40 × 9,891
  4. Step 4: Simplify right side
    30,672.36x = 455,118,539.40
  5. Step 5: Solve for x
    x = 455,118,539.40/30,672.36
  6. Step 6: Final answer
    x = 14,838.07

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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.