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Finding the Fourth Proportional to 13,022.40, 17,970.78 and 7,053.70

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Solution

The fourth proportional to 13,022.40, 17,970.78 and 7,053.70 is: 9,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.40 : 17,970.78 = 7,053.70 : x
  2. Step 2: Convert to fraction form
    13,022.40/17,970.78 = 7,053.70/x
  3. Step 3: Cross multiply
    13,022.40x = 17,970.78 × 7,053.70
  4. Step 4: Simplify right side
    13,022.40x = 126,760,490.89
  5. Step 5: Solve for x
    x = 126,760,490.89/13,022.40
  6. Step 6: Final answer
    x = 9,734.03

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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.