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Finding the Fourth Proportional to 9,805.15, 13,531.19 and 5,328.90

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Solution

The fourth proportional to 9,805.15, 13,531.19 and 5,328.90 is: 7,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.15 : 13,531.19 = 5,328.90 : x
  2. Step 2: Convert to fraction form
    9,805.15/13,531.19 = 5,328.90/x
  3. Step 3: Cross multiply
    9,805.15x = 13,531.19 × 5,328.90
  4. Step 4: Simplify right side
    9,805.15x = 72,106,422.46
  5. Step 5: Solve for x
    x = 72,106,422.46/9,805.15
  6. Step 6: Final answer
    x = 7,353.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.