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Finding the Fourth Proportional to 7,695.81, 10,620.20 and 4,159.02

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Solution

The fourth proportional to 7,695.81, 10,620.20 and 4,159.02 is: 5,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.81 : 10,620.20 = 4,159.02 : x
  2. Step 2: Convert to fraction form
    7,695.81/10,620.20 = 4,159.02/x
  3. Step 3: Cross multiply
    7,695.81x = 10,620.20 × 4,159.02
  4. Step 4: Simplify right side
    7,695.81x = 44,169,603.41
  5. Step 5: Solve for x
    x = 44,169,603.41/7,695.81
  6. Step 6: Final answer
    x = 5,739.44

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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.