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Finding the Fourth Proportional to 7,129,762.80, 10,678,897.80 and 2,867,737.20

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Solution

The fourth proportional to 7,129,762.80, 10,678,897.80 and 2,867,737.20 is: 4,295,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,762.80 : 10,678,897.80 = 2,867,737.20 : x
  2. Step 2: Convert to fraction form
    7,129,762.80/10,678,897.80 = 2,867,737.20/x
  3. Step 3: Cross multiply
    7,129,762.80x = 10,678,897.80 × 2,867,737.20
  4. Step 4: Simplify right side
    7,129,762.80x = 30,624,272,476,058.16
  5. Step 5: Solve for x
    x = 30,624,272,476,058.16/7,129,762.80
  6. Step 6: Final answer
    x = 4,295,272.27

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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.