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Finding the Fourth Proportional to 12,904.58, 17,809.04 and 9,712.14

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Solution

The fourth proportional to 12,904.58, 17,809.04 and 9,712.14 is: 13,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.58 : 17,809.04 = 9,712.14 : x
  2. Step 2: Convert to fraction form
    12,904.58/17,809.04 = 9,712.14/x
  3. Step 3: Cross multiply
    12,904.58x = 17,809.04 × 9,712.14
  4. Step 4: Simplify right side
    12,904.58x = 172,963,889.75
  5. Step 5: Solve for x
    x = 172,963,889.75/12,904.58
  6. Step 6: Final answer
    x = 13,403.29

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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.