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Finding the Fourth Proportional to 7,005.60, 9,637.92 and 6,811.20

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Solution

The fourth proportional to 7,005.60, 9,637.92 and 6,811.20 is: 9,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.60 : 9,637.92 = 6,811.20 : x
  2. Step 2: Convert to fraction form
    7,005.60/9,637.92 = 6,811.20/x
  3. Step 3: Cross multiply
    7,005.60x = 9,637.92 × 6,811.20
  4. Step 4: Simplify right side
    7,005.60x = 65,645,800.70
  5. Step 5: Solve for x
    x = 65,645,800.70/7,005.60
  6. Step 6: Final answer
    x = 9,370.48

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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.