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Finding the Fourth Proportional to 12,584.64, 17,365.50 and 7,281.12

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Solution

The fourth proportional to 12,584.64, 17,365.50 and 7,281.12 is: 10,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.64 : 17,365.50 = 7,281.12 : x
  2. Step 2: Convert to fraction form
    12,584.64/17,365.50 = 7,281.12/x
  3. Step 3: Cross multiply
    12,584.64x = 17,365.50 × 7,281.12
  4. Step 4: Simplify right side
    12,584.64x = 126,440,289.36
  5. Step 5: Solve for x
    x = 126,440,289.36/12,584.64
  6. Step 6: Final answer
    x = 10,047.19

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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.