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Finding the Fourth Proportional to 13,757,716.40, 20,636,574.60 and 7,785,748.40

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Solution

The fourth proportional to 13,757,716.40, 20,636,574.60 and 7,785,748.40 is: 11,678,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757,716.40 : 20,636,574.60 = 7,785,748.40 : x
  2. Step 2: Convert to fraction form
    13,757,716.40/20,636,574.60 = 7,785,748.40/x
  3. Step 3: Cross multiply
    13,757,716.40x = 20,636,574.60 × 7,785,748.40
  4. Step 4: Simplify right side
    13,757,716.40x = 160,671,177,673,430.66
  5. Step 5: Solve for x
    x = 160,671,177,673,430.66/13,757,716.40
  6. Step 6: Final answer
    x = 11,678,622.60

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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.