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Finding the Fourth Proportional to 7,884,894.80, 11,827,342.20 and 2,205,563.60

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Solution

The fourth proportional to 7,884,894.80, 11,827,342.20 and 2,205,563.60 is: 3,308,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,894.80 : 11,827,342.20 = 2,205,563.60 : x
  2. Step 2: Convert to fraction form
    7,884,894.80/11,827,342.20 = 2,205,563.60/x
  3. Step 3: Cross multiply
    7,884,894.80x = 11,827,342.20 × 2,205,563.60
  4. Step 4: Simplify right side
    7,884,894.80x = 26,085,955,441,063.92
  5. Step 5: Solve for x
    x = 26,085,955,441,063.92/7,884,894.80
  6. Step 6: Final answer
    x = 3,308,345.40

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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.