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Finding the Fourth Proportional to 9,858.18, 13,589.16 and 7,865.58

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Solution

The fourth proportional to 9,858.18, 13,589.16 and 7,865.58 is: 10,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.18 : 13,589.16 = 7,865.58 : x
  2. Step 2: Convert to fraction form
    9,858.18/13,589.16 = 7,865.58/x
  3. Step 3: Cross multiply
    9,858.18x = 13,589.16 × 7,865.58
  4. Step 4: Simplify right side
    9,858.18x = 106,886,625.11
  5. Step 5: Solve for x
    x = 106,886,625.11/9,858.18
  6. Step 6: Final answer
    x = 10,842.43

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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.