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Finding the Fourth Proportional to 13,712.16, 18,931.44 and 8,678.16

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Solution

The fourth proportional to 13,712.16, 18,931.44 and 8,678.16 is: 11,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.16 : 18,931.44 = 8,678.16 : x
  2. Step 2: Convert to fraction form
    13,712.16/18,931.44 = 8,678.16/x
  3. Step 3: Cross multiply
    13,712.16x = 18,931.44 × 8,678.16
  4. Step 4: Simplify right side
    13,712.16x = 164,290,065.35
  5. Step 5: Solve for x
    x = 164,290,065.35/13,712.16
  6. Step 6: Final answer
    x = 11,981.34

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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.