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Finding the Fourth Proportional to 7,148,514.92, 9,865,050.54 and 3,885,328.67

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Solution

The fourth proportional to 7,148,514.92, 9,865,050.54 and 3,885,328.67 is: 5,361,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148,514.92 : 9,865,050.54 = 3,885,328.67 : x
  2. Step 2: Convert to fraction form
    7,148,514.92/9,865,050.54 = 3,885,328.67/x
  3. Step 3: Cross multiply
    7,148,514.92x = 9,865,050.54 × 3,885,328.67
  4. Step 4: Simplify right side
    7,148,514.92x = 38,328,963,694,060.98
  5. Step 5: Solve for x
    x = 38,328,963,694,060.98/7,148,514.92
  6. Step 6: Final answer
    x = 5,361,807.89

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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.