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Finding the Fourth Proportional to 7,478.04, 11,218.71 and 2,284.32

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Solution

The fourth proportional to 7,478.04, 11,218.71 and 2,284.32 is: 3,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.04 : 11,218.71 = 2,284.32 : x
  2. Step 2: Convert to fraction form
    7,478.04/11,218.71 = 2,284.32/x
  3. Step 3: Cross multiply
    7,478.04x = 11,218.71 × 2,284.32
  4. Step 4: Simplify right side
    7,478.04x = 25,627,123.63
  5. Step 5: Solve for x
    x = 25,627,123.63/7,478.04
  6. Step 6: Final answer
    x = 3,426.98

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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.