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Finding the Fourth Proportional to 9,765.54, 14,655.60 and 7,840.98

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Solution

The fourth proportional to 9,765.54, 14,655.60 and 7,840.98 is: 11,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.54 : 14,655.60 = 7,840.98 : x
  2. Step 2: Convert to fraction form
    9,765.54/14,655.60 = 7,840.98/x
  3. Step 3: Cross multiply
    9,765.54x = 14,655.60 × 7,840.98
  4. Step 4: Simplify right side
    9,765.54x = 114,914,266.49
  5. Step 5: Solve for x
    x = 114,914,266.49/9,765.54
  6. Step 6: Final answer
    x = 11,767.32

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1.5x scale

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.