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Finding the Fourth Proportional to 7,719.80, 10,647.90 and 7,462.82

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Solution

The fourth proportional to 7,719.80, 10,647.90 and 7,462.82 is: 10,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.80 : 10,647.90 = 7,462.82 : x
  2. Step 2: Convert to fraction form
    7,719.80/10,647.90 = 7,462.82/x
  3. Step 3: Cross multiply
    7,719.80x = 10,647.90 × 7,462.82
  4. Step 4: Simplify right side
    7,719.80x = 79,463,307.84
  5. Step 5: Solve for x
    x = 79,463,307.84/7,719.80
  6. Step 6: Final answer
    x = 10,293.45

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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.