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Finding the Fourth Proportional to 10,495.86, 14,497.29 and 7,620

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Solution

The fourth proportional to 10,495.86, 14,497.29 and 7,620 is: 10,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.86 : 14,497.29 = 7,620 : x
  2. Step 2: Convert to fraction form
    10,495.86/14,497.29 = 7,620/x
  3. Step 3: Cross multiply
    10,495.86x = 14,497.29 × 7,620
  4. Step 4: Simplify right side
    10,495.86x = 110,469,349.80
  5. Step 5: Solve for x
    x = 110,469,349.80/10,495.86
  6. Step 6: Final answer
    x = 10,525.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.