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Finding the Fourth Proportional to 3,054.80, 4,582.20 and 975.26

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Solution

The fourth proportional to 3,054.80, 4,582.20 and 975.26 is: 1,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.80 : 4,582.20 = 975.26 : x
  2. Step 2: Convert to fraction form
    3,054.80/4,582.20 = 975.26/x
  3. Step 3: Cross multiply
    3,054.80x = 4,582.20 × 975.26
  4. Step 4: Simplify right side
    3,054.80x = 4,468,836.37
  5. Step 5: Solve for x
    x = 4,468,836.37/3,054.80
  6. Step 6: Final answer
    x = 1,462.89

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Similar ratio
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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.