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Finding the Fourth Proportional to 13,207.14, 19,810.71 and 5,421.42

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Solution

The fourth proportional to 13,207.14, 19,810.71 and 5,421.42 is: 8,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.14 : 19,810.71 = 5,421.42 : x
  2. Step 2: Convert to fraction form
    13,207.14/19,810.71 = 5,421.42/x
  3. Step 3: Cross multiply
    13,207.14x = 19,810.71 × 5,421.42
  4. Step 4: Simplify right side
    13,207.14x = 107,402,179.41
  5. Step 5: Solve for x
    x = 107,402,179.41/13,207.14
  6. Step 6: Final answer
    x = 8,132.13

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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.