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Finding the Fourth Proportional to 7,665.88, 10,568.94 and 5,780.20

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Solution

The fourth proportional to 7,665.88, 10,568.94 and 5,780.20 is: 7,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.88 : 10,568.94 = 5,780.20 : x
  2. Step 2: Convert to fraction form
    7,665.88/10,568.94 = 5,780.20/x
  3. Step 3: Cross multiply
    7,665.88x = 10,568.94 × 5,780.20
  4. Step 4: Simplify right side
    7,665.88x = 61,090,586.99
  5. Step 5: Solve for x
    x = 61,090,586.99/7,665.88
  6. Step 6: Final answer
    x = 7,969.16

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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.