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Finding the Fourth Proportional to 5,322.99, 7,345.77 and 3,085.41

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Solution

The fourth proportional to 5,322.99, 7,345.77 and 3,085.41 is: 4,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.99 : 7,345.77 = 3,085.41 : x
  2. Step 2: Convert to fraction form
    5,322.99/7,345.77 = 3,085.41/x
  3. Step 3: Cross multiply
    5,322.99x = 7,345.77 × 3,085.41
  4. Step 4: Simplify right side
    5,322.99x = 22,664,712.22
  5. Step 5: Solve for x
    x = 22,664,712.22/5,322.99
  6. Step 6: Final answer
    x = 4,257.89

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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.