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Finding the Fourth Proportional to 12,894.31, 17,802.68 and 9,904.78

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Solution

The fourth proportional to 12,894.31, 17,802.68 and 9,904.78 is: 13,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.31 : 17,802.68 = 9,904.78 : x
  2. Step 2: Convert to fraction form
    12,894.31/17,802.68 = 9,904.78/x
  3. Step 3: Cross multiply
    12,894.31x = 17,802.68 × 9,904.78
  4. Step 4: Simplify right side
    12,894.31x = 176,331,628.81
  5. Step 5: Solve for x
    x = 176,331,628.81/12,894.31
  6. Step 6: Final answer
    x = 13,675.15

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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.