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Finding the Fourth Proportional to 9,798,914.16, 13,523,258.16 and 5,878,817.28

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Solution

The fourth proportional to 9,798,914.16, 13,523,258.16 and 5,878,817.28 is: 8,113,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798,914.16 : 13,523,258.16 = 5,878,817.28 : x
  2. Step 2: Convert to fraction form
    9,798,914.16/13,523,258.16 = 5,878,817.28/x
  3. Step 3: Cross multiply
    9,798,914.16x = 13,523,258.16 × 5,878,817.28
  4. Step 4: Simplify right side
    9,798,914.16x = 79,500,763,752,909.02
  5. Step 5: Solve for x
    x = 79,500,763,752,909.02/9,798,914.16
  6. Step 6: Final answer
    x = 8,113,221.78

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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.