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Finding the Fourth Proportional to 12,814.60, 19,223.88 and 5,419.10

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Solution

The fourth proportional to 12,814.60, 19,223.88 and 5,419.10 is: 8,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.60 : 19,223.88 = 5,419.10 : x
  2. Step 2: Convert to fraction form
    12,814.60/19,223.88 = 5,419.10/x
  3. Step 3: Cross multiply
    12,814.60x = 19,223.88 × 5,419.10
  4. Step 4: Simplify right side
    12,814.60x = 104,176,128.11
  5. Step 5: Solve for x
    x = 104,176,128.11/12,814.60
  6. Step 6: Final answer
    x = 8,129.49

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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.