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Finding the Fourth Proportional to 15,765.18, 21,766.08 and 9,804.96

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Solution

The fourth proportional to 15,765.18, 21,766.08 and 9,804.96 is: 13,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.18 : 21,766.08 = 9,804.96 : x
  2. Step 2: Convert to fraction form
    15,765.18/21,766.08 = 9,804.96/x
  3. Step 3: Cross multiply
    15,765.18x = 21,766.08 × 9,804.96
  4. Step 4: Simplify right side
    15,765.18x = 213,415,543.76
  5. Step 5: Solve for x
    x = 213,415,543.76/15,765.18
  6. Step 6: Final answer
    x = 13,537.15

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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.