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Finding the Fourth Proportional to 7,208,286.48, 9,947,461.71 and 3,900,580.74

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Solution

The fourth proportional to 7,208,286.48, 9,947,461.71 and 3,900,580.74 is: 5,382,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208,286.48 : 9,947,461.71 = 3,900,580.74 : x
  2. Step 2: Convert to fraction form
    7,208,286.48/9,947,461.71 = 3,900,580.74/x
  3. Step 3: Cross multiply
    7,208,286.48x = 9,947,461.71 × 3,900,580.74
  4. Step 4: Simplify right side
    7,208,286.48x = 38,800,877,557,913.47
  5. Step 5: Solve for x
    x = 38,800,877,557,913.47/7,208,286.48
  6. Step 6: Final answer
    x = 5,382,815.69

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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.