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Finding the Fourth Proportional to 12,695.54, 17,503.29 and 9,706.64

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Solution

The fourth proportional to 12,695.54, 17,503.29 and 9,706.64 is: 13,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.54 : 17,503.29 = 9,706.64 : x
  2. Step 2: Convert to fraction form
    12,695.54/17,503.29 = 9,706.64/x
  3. Step 3: Cross multiply
    12,695.54x = 17,503.29 × 9,706.64
  4. Step 4: Simplify right side
    12,695.54x = 169,898,047.33
  5. Step 5: Solve for x
    x = 169,898,047.33/12,695.54
  6. Step 6: Final answer
    x = 13,382.50

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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.