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Finding the Fourth Proportional to 12,903.60, 17,783.16 and 9,754.80

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Solution

The fourth proportional to 12,903.60, 17,783.16 and 9,754.80 is: 13,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.60 : 17,783.16 = 9,754.80 : x
  2. Step 2: Convert to fraction form
    12,903.60/17,783.16 = 9,754.80/x
  3. Step 3: Cross multiply
    12,903.60x = 17,783.16 × 9,754.80
  4. Step 4: Simplify right side
    12,903.60x = 173,471,169.17
  5. Step 5: Solve for x
    x = 173,471,169.17/12,903.60
  6. Step 6: Final answer
    x = 13,443.63

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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.