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Finding the Fourth Proportional to 7,110.64, 9,813.20 and 4,128.20

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Solution

The fourth proportional to 7,110.64, 9,813.20 and 4,128.20 is: 5,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.64 : 9,813.20 = 4,128.20 : x
  2. Step 2: Convert to fraction form
    7,110.64/9,813.20 = 4,128.20/x
  3. Step 3: Cross multiply
    7,110.64x = 9,813.20 × 4,128.20
  4. Step 4: Simplify right side
    7,110.64x = 40,510,852.24
  5. Step 5: Solve for x
    x = 40,510,852.24/7,110.64
  6. Step 6: Final answer
    x = 5,697.22

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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.