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Finding the Fourth Proportional to 12,637.14, 18,916.26 and 9,309.14

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Solution

The fourth proportional to 12,637.14, 18,916.26 and 9,309.14 is: 13,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.14 : 18,916.26 = 9,309.14 : x
  2. Step 2: Convert to fraction form
    12,637.14/18,916.26 = 9,309.14/x
  3. Step 3: Cross multiply
    12,637.14x = 18,916.26 × 9,309.14
  4. Step 4: Simplify right side
    12,637.14x = 176,094,018.04
  5. Step 5: Solve for x
    x = 176,094,018.04/12,637.14
  6. Step 6: Final answer
    x = 13,934.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.