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Finding the Fourth Proportional to 9,858.60, 13,605 and 5,382.30

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Solution

The fourth proportional to 9,858.60, 13,605 and 5,382.30 is: 7,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.60 : 13,605 = 5,382.30 : x
  2. Step 2: Convert to fraction form
    9,858.60/13,605 = 5,382.30/x
  3. Step 3: Cross multiply
    9,858.60x = 13,605 × 5,382.30
  4. Step 4: Simplify right side
    9,858.60x = 73,226,191.50
  5. Step 5: Solve for x
    x = 73,226,191.50/9,858.60
  6. Step 6: Final answer
    x = 7,427.65

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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.