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Finding the Fourth Proportional to 7,411, 11,118.72 and 4,290.28

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Solution

The fourth proportional to 7,411, 11,118.72 and 4,290.28 is: 6,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411 : 11,118.72 = 4,290.28 : x
  2. Step 2: Convert to fraction form
    7,411/11,118.72 = 4,290.28/x
  3. Step 3: Cross multiply
    7,411x = 11,118.72 × 4,290.28
  4. Step 4: Simplify right side
    7,411x = 47,702,422.04
  5. Step 5: Solve for x
    x = 47,702,422.04/7,411
  6. Step 6: Final answer
    x = 6,436.71

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Half scale
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Double scale
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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.