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Finding the Fourth Proportional to 4,722.89, 7,085.11 and 1,435.22

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Solution

The fourth proportional to 4,722.89, 7,085.11 and 1,435.22 is: 2,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.89 : 7,085.11 = 1,435.22 : x
  2. Step 2: Convert to fraction form
    4,722.89/7,085.11 = 1,435.22/x
  3. Step 3: Cross multiply
    4,722.89x = 7,085.11 × 1,435.22
  4. Step 4: Simplify right side
    4,722.89x = 10,168,684.34
  5. Step 5: Solve for x
    x = 10,168,684.34/4,722.89
  6. Step 6: Final answer
    x = 2,153.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.