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Finding the Fourth Proportional to 6,840.64, 9,441.12 and 4,047.04

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Solution

The fourth proportional to 6,840.64, 9,441.12 and 4,047.04 is: 5,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.64 : 9,441.12 = 4,047.04 : x
  2. Step 2: Convert to fraction form
    6,840.64/9,441.12 = 4,047.04/x
  3. Step 3: Cross multiply
    6,840.64x = 9,441.12 × 4,047.04
  4. Step 4: Simplify right side
    6,840.64x = 38,208,590.28
  5. Step 5: Solve for x
    x = 38,208,590.28/6,840.64
  6. Step 6: Final answer
    x = 5,585.53

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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.