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Finding the Fourth Proportional to 12,740, 19,110.72 and 4,532

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Solution

The fourth proportional to 12,740, 19,110.72 and 4,532 is: 6,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740 : 19,110.72 = 4,532 : x
  2. Step 2: Convert to fraction form
    12,740/19,110.72 = 4,532/x
  3. Step 3: Cross multiply
    12,740x = 19,110.72 × 4,532
  4. Step 4: Simplify right side
    12,740x = 86,609,783.04
  5. Step 5: Solve for x
    x = 86,609,783.04/12,740
  6. Step 6: Final answer
    x = 6,798.26

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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.