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Finding the Fourth Proportional to 15,765.84, 21,760.65 and 9,477

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Solution

The fourth proportional to 15,765.84, 21,760.65 and 9,477 is: 13,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.84 : 21,760.65 = 9,477 : x
  2. Step 2: Convert to fraction form
    15,765.84/21,760.65 = 9,477/x
  3. Step 3: Cross multiply
    15,765.84x = 21,760.65 × 9,477
  4. Step 4: Simplify right side
    15,765.84x = 206,225,680.05
  5. Step 5: Solve for x
    x = 206,225,680.05/15,765.84
  6. Step 6: Final answer
    x = 13,080.54

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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.