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Finding the Fourth Proportional to 7,780,337.70, 11,649,511.35 and 7,780,337.70

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Solution

The fourth proportional to 7,780,337.70, 11,649,511.35 and 7,780,337.70 is: 11,649,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780,337.70 : 11,649,511.35 = 7,780,337.70 : x
  2. Step 2: Convert to fraction form
    7,780,337.70/11,649,511.35 = 7,780,337.70/x
  3. Step 3: Cross multiply
    7,780,337.70x = 11,649,511.35 × 7,780,337.70
  4. Step 4: Simplify right side
    7,780,337.70x = 90,637,132,342,982.89
  5. Step 5: Solve for x
    x = 90,637,132,342,982.89/7,780,337.70
  6. Step 6: Final answer
    x = 11,649,511.35

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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.