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Finding the Fourth Proportional to 7,039.34, 9,714.43 and 4,209.63

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Solution

The fourth proportional to 7,039.34, 9,714.43 and 4,209.63 is: 5,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.34 : 9,714.43 = 4,209.63 : x
  2. Step 2: Convert to fraction form
    7,039.34/9,714.43 = 4,209.63/x
  3. Step 3: Cross multiply
    7,039.34x = 9,714.43 × 4,209.63
  4. Step 4: Simplify right side
    7,039.34x = 40,894,155.96
  5. Step 5: Solve for x
    x = 40,894,155.96/7,039.34
  6. Step 6: Final answer
    x = 5,809.37

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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.