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Finding the Fourth Proportional to 13,000.70, 19,505.64 and 6,431.42

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Solution

The fourth proportional to 13,000.70, 19,505.64 and 6,431.42 is: 9,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.70 : 19,505.64 = 6,431.42 : x
  2. Step 2: Convert to fraction form
    13,000.70/19,505.64 = 6,431.42/x
  3. Step 3: Cross multiply
    13,000.70x = 19,505.64 × 6,431.42
  4. Step 4: Simplify right side
    13,000.70x = 125,448,963.21
  5. Step 5: Solve for x
    x = 125,448,963.21/13,000.70
  6. Step 6: Final answer
    x = 9,649.40

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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.