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Finding the Fourth Proportional to 9,765.78, 14,647.40 and 2,746.32

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Solution

The fourth proportional to 9,765.78, 14,647.40 and 2,746.32 is: 4,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.78 : 14,647.40 = 2,746.32 : x
  2. Step 2: Convert to fraction form
    9,765.78/14,647.40 = 2,746.32/x
  3. Step 3: Cross multiply
    9,765.78x = 14,647.40 × 2,746.32
  4. Step 4: Simplify right side
    9,765.78x = 40,226,447.57
  5. Step 5: Solve for x
    x = 40,226,447.57/9,765.78
  6. Step 6: Final answer
    x = 4,119.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.