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Finding the Fourth Proportional to 7,736,077.80, 11,604,116.70 and 1,978,800.30

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Solution

The fourth proportional to 7,736,077.80, 11,604,116.70 and 1,978,800.30 is: 2,968,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736,077.80 : 11,604,116.70 = 1,978,800.30 : x
  2. Step 2: Convert to fraction form
    7,736,077.80/11,604,116.70 = 1,978,800.30/x
  3. Step 3: Cross multiply
    7,736,077.80x = 11,604,116.70 × 1,978,800.30
  4. Step 4: Simplify right side
    7,736,077.80x = 22,962,229,607,195.01
  5. Step 5: Solve for x
    x = 22,962,229,607,195.01/7,736,077.80
  6. Step 6: Final answer
    x = 2,968,200.45

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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.