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Finding the Fourth Proportional to 6,969.74, 10,454.40 and 1,775.60

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Solution

The fourth proportional to 6,969.74, 10,454.40 and 1,775.60 is: 2,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.74 : 10,454.40 = 1,775.60 : x
  2. Step 2: Convert to fraction form
    6,969.74/10,454.40 = 1,775.60/x
  3. Step 3: Cross multiply
    6,969.74x = 10,454.40 × 1,775.60
  4. Step 4: Simplify right side
    6,969.74x = 18,562,832.64
  5. Step 5: Solve for x
    x = 18,562,832.64/6,969.74
  6. Step 6: Final answer
    x = 2,663.35

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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.