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Finding the Fourth Proportional to 5,458.40, 8,171.40 and 4,875.20

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Solution

The fourth proportional to 5,458.40, 8,171.40 and 4,875.20 is: 7,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.40 : 8,171.40 = 4,875.20 : x
  2. Step 2: Convert to fraction form
    5,458.40/8,171.40 = 4,875.20/x
  3. Step 3: Cross multiply
    5,458.40x = 8,171.40 × 4,875.20
  4. Step 4: Simplify right side
    5,458.40x = 39,837,209.28
  5. Step 5: Solve for x
    x = 39,837,209.28/5,458.40
  6. Step 6: Final answer
    x = 7,298.33

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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.