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Finding the Fourth Proportional to 15,765.54, 21,760.16 and 9,054.69

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Solution

The fourth proportional to 15,765.54, 21,760.16 and 9,054.69 is: 12,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.54 : 21,760.16 = 9,054.69 : x
  2. Step 2: Convert to fraction form
    15,765.54/21,760.16 = 9,054.69/x
  3. Step 3: Cross multiply
    15,765.54x = 21,760.16 × 9,054.69
  4. Step 4: Simplify right side
    15,765.54x = 197,031,457.88
  5. Step 5: Solve for x
    x = 197,031,457.88/15,765.54
  6. Step 6: Final answer
    x = 12,497.60

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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.