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Finding the Fourth Proportional to 12,765.07, 17,615.64 and 7,176.07

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Solution

The fourth proportional to 12,765.07, 17,615.64 and 7,176.07 is: 9,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.07 : 17,615.64 = 7,176.07 : x
  2. Step 2: Convert to fraction form
    12,765.07/17,615.64 = 7,176.07/x
  3. Step 3: Cross multiply
    12,765.07x = 17,615.64 × 7,176.07
  4. Step 4: Simplify right side
    12,765.07x = 126,411,065.73
  5. Step 5: Solve for x
    x = 126,411,065.73/12,765.07
  6. Step 6: Final answer
    x = 9,902.89

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1.5x scale

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.