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Finding the Fourth Proportional to 5,407.60, 8,101.80 and 4,428.40

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Solution

The fourth proportional to 5,407.60, 8,101.80 and 4,428.40 is: 6,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.60 : 8,101.80 = 4,428.40 : x
  2. Step 2: Convert to fraction form
    5,407.60/8,101.80 = 4,428.40/x
  3. Step 3: Cross multiply
    5,407.60x = 8,101.80 × 4,428.40
  4. Step 4: Simplify right side
    5,407.60x = 35,878,011.12
  5. Step 5: Solve for x
    x = 35,878,011.12/5,407.60
  6. Step 6: Final answer
    x = 6,634.74

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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.