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Finding the Fourth Proportional to 10,091, 15,150.40 and 6,963.60

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Solution

The fourth proportional to 10,091, 15,150.40 and 6,963.60 is: 10,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091 : 15,150.40 = 6,963.60 : x
  2. Step 2: Convert to fraction form
    10,091/15,150.40 = 6,963.60/x
  3. Step 3: Cross multiply
    10,091x = 15,150.40 × 6,963.60
  4. Step 4: Simplify right side
    10,091x = 105,501,325.44
  5. Step 5: Solve for x
    x = 105,501,325.44/10,091
  6. Step 6: Final answer
    x = 10,454.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.