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Finding the Fourth Proportional to 6,291.29, 9,403.04 and 5,494.40

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Solution

The fourth proportional to 6,291.29, 9,403.04 and 5,494.40 is: 8,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.29 : 9,403.04 = 5,494.40 : x
  2. Step 2: Convert to fraction form
    6,291.29/9,403.04 = 5,494.40/x
  3. Step 3: Cross multiply
    6,291.29x = 9,403.04 × 5,494.40
  4. Step 4: Simplify right side
    6,291.29x = 51,663,988.49
  5. Step 5: Solve for x
    x = 51,663,988.49/6,291.29
  6. Step 6: Final answer
    x = 8,211.99

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.