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Finding the Fourth Proportional to 13,021.96, 17,970.24 and 7,053.72

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Solution

The fourth proportional to 13,021.96, 17,970.24 and 7,053.72 is: 9,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.96 : 17,970.24 = 7,053.72 : x
  2. Step 2: Convert to fraction form
    13,021.96/17,970.24 = 7,053.72/x
  3. Step 3: Cross multiply
    13,021.96x = 17,970.24 × 7,053.72
  4. Step 4: Simplify right side
    13,021.96x = 126,757,041.29
  5. Step 5: Solve for x
    x = 126,757,041.29/13,021.96
  6. Step 6: Final answer
    x = 9,734.10

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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.