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Finding the Fourth Proportional to 12,894.73, 17,803.20 and 9,905.16

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Solution

The fourth proportional to 12,894.73, 17,803.20 and 9,905.16 is: 13,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.73 : 17,803.20 = 9,905.16 : x
  2. Step 2: Convert to fraction form
    12,894.73/17,803.20 = 9,905.16/x
  3. Step 3: Cross multiply
    12,894.73x = 17,803.20 × 9,905.16
  4. Step 4: Simplify right side
    12,894.73x = 176,343,544.51
  5. Step 5: Solve for x
    x = 176,343,544.51/12,894.73
  6. Step 6: Final answer
    x = 13,675.63

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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.