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Finding the Fourth Proportional to 7,665.76, 10,570.97 and 7,219.29

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Solution

The fourth proportional to 7,665.76, 10,570.97 and 7,219.29 is: 9,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.76 : 10,570.97 = 7,219.29 : x
  2. Step 2: Convert to fraction form
    7,665.76/10,570.97 = 7,219.29/x
  3. Step 3: Cross multiply
    7,665.76x = 10,570.97 × 7,219.29
  4. Step 4: Simplify right side
    7,665.76x = 76,314,955.70
  5. Step 5: Solve for x
    x = 76,314,955.70/7,665.76
  6. Step 6: Final answer
    x = 9,955.31

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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.