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Finding the Fourth Proportional to 7,695.99, 10,620.47 and 4,159.20

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Solution

The fourth proportional to 7,695.99, 10,620.47 and 4,159.20 is: 5,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.99 : 10,620.47 = 4,159.20 : x
  2. Step 2: Convert to fraction form
    7,695.99/10,620.47 = 4,159.20/x
  3. Step 3: Cross multiply
    7,695.99x = 10,620.47 × 4,159.20
  4. Step 4: Simplify right side
    7,695.99x = 44,172,638.03
  5. Step 5: Solve for x
    x = 44,172,638.03/7,695.99
  6. Step 6: Final answer
    x = 5,739.70

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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.