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Finding the Fourth Proportional to 7,776,005.10, 11,664,007.65 and 6,862,713.90

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Solution

The fourth proportional to 7,776,005.10, 11,664,007.65 and 6,862,713.90 is: 10,294,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,005.10 : 11,664,007.65 = 6,862,713.90 : x
  2. Step 2: Convert to fraction form
    7,776,005.10/11,664,007.65 = 6,862,713.90/x
  3. Step 3: Cross multiply
    7,776,005.10x = 11,664,007.65 × 6,862,713.90
  4. Step 4: Simplify right side
    7,776,005.10x = 80,046,747,429,361.34
  5. Step 5: Solve for x
    x = 80,046,747,429,361.34/7,776,005.10
  6. Step 6: Final answer
    x = 10,294,070.85

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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.