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Finding the Fourth Proportional to 38,720, 53,425.36 and 22,798.64

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Solution

The fourth proportional to 38,720, 53,425.36 and 22,798.64 is: 31,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,720 : 53,425.36 = 22,798.64 : x
  2. Step 2: Convert to fraction form
    38,720/53,425.36 = 22,798.64/x
  3. Step 3: Cross multiply
    38,720x = 53,425.36 × 22,798.64
  4. Step 4: Simplify right side
    38,720x = 1,218,025,549.51
  5. Step 5: Solve for x
    x = 1,218,025,549.51/38,720
  6. Step 6: Final answer
    x = 31,457.27

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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.