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Finding the Fourth Proportional to 10,890.47, 15,033.44 and 7,358.47

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Solution

The fourth proportional to 10,890.47, 15,033.44 and 7,358.47 is: 10,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.47 : 15,033.44 = 7,358.47 : x
  2. Step 2: Convert to fraction form
    10,890.47/15,033.44 = 7,358.47/x
  3. Step 3: Cross multiply
    10,890.47x = 15,033.44 × 7,358.47
  4. Step 4: Simplify right side
    10,890.47x = 110,623,070.46
  5. Step 5: Solve for x
    x = 110,623,070.46/10,890.47
  6. Step 6: Final answer
    x = 10,157.78

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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.