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Finding the Fourth Proportional to 15,978,967.96, 22,052,319.24 and 9,783,984.28

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Solution

The fourth proportional to 15,978,967.96, 22,052,319.24 and 9,783,984.28 is: 13,502,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978,967.96 : 22,052,319.24 = 9,783,984.28 : x
  2. Step 2: Convert to fraction form
    15,978,967.96/22,052,319.24 = 9,783,984.28/x
  3. Step 3: Cross multiply
    15,978,967.96x = 22,052,319.24 × 9,783,984.28
  4. Step 4: Simplify right side
    15,978,967.96x = 215,759,544,781,701.53
  5. Step 5: Solve for x
    x = 215,759,544,781,701.53/15,978,967.96
  6. Step 6: Final answer
    x = 13,502,720.91

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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.