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Finding the Fourth Proportional to 7,689,780.30, 11,534,670.45 and 7,689,780.30

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Solution

The fourth proportional to 7,689,780.30, 11,534,670.45 and 7,689,780.30 is: 11,534,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,780.30 : 11,534,670.45 = 7,689,780.30 : x
  2. Step 2: Convert to fraction form
    7,689,780.30/11,534,670.45 = 7,689,780.30/x
  3. Step 3: Cross multiply
    7,689,780.30x = 11,534,670.45 × 7,689,780.30
  4. Step 4: Simplify right side
    7,689,780.30x = 88,699,081,593,402.12
  5. Step 5: Solve for x
    x = 88,699,081,593,402.12/7,689,780.30
  6. Step 6: Final answer
    x = 11,534,670.45

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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.