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Finding the Fourth Proportional to 13,057.72, 18,019.49 and 7,089.47

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Solution

The fourth proportional to 13,057.72, 18,019.49 and 7,089.47 is: 9,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.72 : 18,019.49 = 7,089.47 : x
  2. Step 2: Convert to fraction form
    13,057.72/18,019.49 = 7,089.47/x
  3. Step 3: Cross multiply
    13,057.72x = 18,019.49 × 7,089.47
  4. Step 4: Simplify right side
    13,057.72x = 127,748,508.23
  5. Step 5: Solve for x
    x = 127,748,508.23/13,057.72
  6. Step 6: Final answer
    x = 9,783.37

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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.