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Finding the Fourth Proportional to 14,189.11, 19,580.78 and 7,815.58

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Solution

The fourth proportional to 14,189.11, 19,580.78 and 7,815.58 is: 10,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.11 : 19,580.78 = 7,815.58 : x
  2. Step 2: Convert to fraction form
    14,189.11/19,580.78 = 7,815.58/x
  3. Step 3: Cross multiply
    14,189.11x = 19,580.78 × 7,815.58
  4. Step 4: Simplify right side
    14,189.11x = 153,035,152.55
  5. Step 5: Solve for x
    x = 153,035,152.55/14,189.11
  6. Step 6: Final answer
    x = 10,785.39

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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.