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Finding the Fourth Proportional to 12,199.51, 16,819.04 and 9,689.93

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Solution

The fourth proportional to 12,199.51, 16,819.04 and 9,689.93 is: 13,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.51 : 16,819.04 = 9,689.93 : x
  2. Step 2: Convert to fraction form
    12,199.51/16,819.04 = 9,689.93/x
  3. Step 3: Cross multiply
    12,199.51x = 16,819.04 × 9,689.93
  4. Step 4: Simplify right side
    12,199.51x = 162,975,323.47
  5. Step 5: Solve for x
    x = 162,975,323.47/12,199.51
  6. Step 6: Final answer
    x = 13,359.17

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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.