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Finding the Fourth Proportional to 6,989.64, 10,429.96 and 6,368.64

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Solution

The fourth proportional to 6,989.64, 10,429.96 and 6,368.64 is: 9,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.64 : 10,429.96 = 6,368.64 : x
  2. Step 2: Convert to fraction form
    6,989.64/10,429.96 = 6,368.64/x
  3. Step 3: Cross multiply
    6,989.64x = 10,429.96 × 6,368.64
  4. Step 4: Simplify right side
    6,989.64x = 66,424,660.45
  5. Step 5: Solve for x
    x = 66,424,660.45/6,989.64
  6. Step 6: Final answer
    x = 9,503.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.