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Finding the Fourth Proportional to 7,699.44, 10,598.54 and 6,640.77

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Solution

The fourth proportional to 7,699.44, 10,598.54 and 6,640.77 is: 9,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.44 : 10,598.54 = 6,640.77 : x
  2. Step 2: Convert to fraction form
    7,699.44/10,598.54 = 6,640.77/x
  3. Step 3: Cross multiply
    7,699.44x = 10,598.54 × 6,640.77
  4. Step 4: Simplify right side
    7,699.44x = 70,382,466.48
  5. Step 5: Solve for x
    x = 70,382,466.48/7,699.44
  6. Step 6: Final answer
    x = 9,141.24

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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.