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Finding the Fourth Proportional to 5,135, 7,055.46 and 4,085.24

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Solution

The fourth proportional to 5,135, 7,055.46 and 4,085.24 is: 5,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135 : 7,055.46 = 4,085.24 : x
  2. Step 2: Convert to fraction form
    5,135/7,055.46 = 4,085.24/x
  3. Step 3: Cross multiply
    5,135x = 7,055.46 × 4,085.24
  4. Step 4: Simplify right side
    5,135x = 28,823,247.41
  5. Step 5: Solve for x
    x = 28,823,247.41/5,135
  6. Step 6: Final answer
    x = 5,613.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.