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Finding the Fourth Proportional to 12,503.71, 17,261.40 and 9,664.68

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Solution

The fourth proportional to 12,503.71, 17,261.40 and 9,664.68 is: 13,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.71 : 17,261.40 = 9,664.68 : x
  2. Step 2: Convert to fraction form
    12,503.71/17,261.40 = 9,664.68/x
  3. Step 3: Cross multiply
    12,503.71x = 17,261.40 × 9,664.68
  4. Step 4: Simplify right side
    12,503.71x = 166,825,772.72
  5. Step 5: Solve for x
    x = 166,825,772.72/12,503.71
  6. Step 6: Final answer
    x = 13,342.10

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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.