Home / 7,578.12-10,456.20-4,782

Finding the Fourth Proportional to 7,578.12, 10,456.20 and 4,782

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Solution

The fourth proportional to 7,578.12, 10,456.20 and 4,782 is: 6,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.12 : 10,456.20 = 4,782 : x
  2. Step 2: Convert to fraction form
    7,578.12/10,456.20 = 4,782/x
  3. Step 3: Cross multiply
    7,578.12x = 10,456.20 × 4,782
  4. Step 4: Simplify right side
    7,578.12x = 50,001,548.40
  5. Step 5: Solve for x
    x = 50,001,548.40/7,578.12
  6. Step 6: Final answer
    x = 6,598.15

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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.