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Finding the Fourth Proportional to 34,272, 51,415.56 and 14,567.40

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Solution

The fourth proportional to 34,272, 51,415.56 and 14,567.40 is: 21,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,272 : 51,415.56 = 14,567.40 : x
  2. Step 2: Convert to fraction form
    34,272/51,415.56 = 14,567.40/x
  3. Step 3: Cross multiply
    34,272x = 51,415.56 × 14,567.40
  4. Step 4: Simplify right side
    34,272x = 748,991,028.74
  5. Step 5: Solve for x
    x = 748,991,028.74/34,272
  6. Step 6: Final answer
    x = 21,854.31

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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.