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Finding the Fourth Proportional to 11,490.68, 15,858.61 and 7,013.48

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Solution

The fourth proportional to 11,490.68, 15,858.61 and 7,013.48 is: 9,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.68 : 15,858.61 = 7,013.48 : x
  2. Step 2: Convert to fraction form
    11,490.68/15,858.61 = 7,013.48/x
  3. Step 3: Cross multiply
    11,490.68x = 15,858.61 × 7,013.48
  4. Step 4: Simplify right side
    11,490.68x = 111,223,947.24
  5. Step 5: Solve for x
    x = 111,223,947.24/11,490.68
  6. Step 6: Final answer
    x = 9,679.49

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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.