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Finding the Fourth Proportional to 7,009.60, 9,643.44 and 6,815.20

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Solution

The fourth proportional to 7,009.60, 9,643.44 and 6,815.20 is: 9,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.60 : 9,643.44 = 6,815.20 : x
  2. Step 2: Convert to fraction form
    7,009.60/9,643.44 = 6,815.20/x
  3. Step 3: Cross multiply
    7,009.60x = 9,643.44 × 6,815.20
  4. Step 4: Simplify right side
    7,009.60x = 65,721,972.29
  5. Step 5: Solve for x
    x = 65,721,972.29/7,009.60
  6. Step 6: Final answer
    x = 9,375.99

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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.