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Finding the Fourth Proportional to 14,487.78, 19,993.14 and 8,200.14

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Solution

The fourth proportional to 14,487.78, 19,993.14 and 8,200.14 is: 11,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.78 : 19,993.14 = 8,200.14 : x
  2. Step 2: Convert to fraction form
    14,487.78/19,993.14 = 8,200.14/x
  3. Step 3: Cross multiply
    14,487.78x = 19,993.14 × 8,200.14
  4. Step 4: Simplify right side
    14,487.78x = 163,946,547.04
  5. Step 5: Solve for x
    x = 163,946,547.04/14,487.78
  6. Step 6: Final answer
    x = 11,316.20

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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.