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Finding the Fourth Proportional to 9,820.80, 14,709.60 and 6,883.20

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Solution

The fourth proportional to 9,820.80, 14,709.60 and 6,883.20 is: 10,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.80 : 14,709.60 = 6,883.20 : x
  2. Step 2: Convert to fraction form
    9,820.80/14,709.60 = 6,883.20/x
  3. Step 3: Cross multiply
    9,820.80x = 14,709.60 × 6,883.20
  4. Step 4: Simplify right side
    9,820.80x = 101,249,118.72
  5. Step 5: Solve for x
    x = 101,249,118.72/9,820.80
  6. Step 6: Final answer
    x = 10,309.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.