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Finding the Fourth Proportional to 6,969.53, 9,612.32 and 6,128.48

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Solution

The fourth proportional to 6,969.53, 9,612.32 and 6,128.48 is: 8,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.53 : 9,612.32 = 6,128.48 : x
  2. Step 2: Convert to fraction form
    6,969.53/9,612.32 = 6,128.48/x
  3. Step 3: Cross multiply
    6,969.53x = 9,612.32 × 6,128.48
  4. Step 4: Simplify right side
    6,969.53x = 58,908,832.17
  5. Step 5: Solve for x
    x = 58,908,832.17/6,969.53
  6. Step 6: Final answer
    x = 8,452.35

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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.