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Finding the Fourth Proportional to 7,689,967.75, 11,537,478.87 and 3,144,839.86

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Solution

The fourth proportional to 7,689,967.75, 11,537,478.87 and 3,144,839.86 is: 4,718,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,967.75 : 11,537,478.87 = 3,144,839.86 : x
  2. Step 2: Convert to fraction form
    7,689,967.75/11,537,478.87 = 3,144,839.86/x
  3. Step 3: Cross multiply
    7,689,967.75x = 11,537,478.87 × 3,144,839.86
  4. Step 4: Simplify right side
    7,689,967.75x = 36,283,523,434,283.76
  5. Step 5: Solve for x
    x = 36,283,523,434,283.76/7,689,967.75
  6. Step 6: Final answer
    x = 4,718,293.32

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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.