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Finding the Fourth Proportional to 6,969.84, 9,618.64 and 3,826.32

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Solution

The fourth proportional to 6,969.84, 9,618.64 and 3,826.32 is: 5,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.84 : 9,618.64 = 3,826.32 : x
  2. Step 2: Convert to fraction form
    6,969.84/9,618.64 = 3,826.32/x
  3. Step 3: Cross multiply
    6,969.84x = 9,618.64 × 3,826.32
  4. Step 4: Simplify right side
    6,969.84x = 36,803,994.60
  5. Step 5: Solve for x
    x = 36,803,994.60/6,969.84
  6. Step 6: Final answer
    x = 5,280.46

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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.