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Finding the Fourth Proportional to 10,127,978.30, 13,976,609.04 and 5,481,762.59

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Solution

The fourth proportional to 10,127,978.30, 13,976,609.04 and 5,481,762.59 is: 7,564,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127,978.30 : 13,976,609.04 = 5,481,762.59 : x
  2. Step 2: Convert to fraction form
    10,127,978.30/13,976,609.04 = 5,481,762.59/x
  3. Step 3: Cross multiply
    10,127,978.30x = 13,976,609.04 × 5,481,762.59
  4. Step 4: Simplify right side
    10,127,978.30x = 76,616,452,500,644.77
  5. Step 5: Solve for x
    x = 76,616,452,500,644.77/10,127,978.30
  6. Step 6: Final answer
    x = 7,564,831.82

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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.