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Finding the Fourth Proportional to 7,230.89, 9,978.86 and 4,714.63

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Solution

The fourth proportional to 7,230.89, 9,978.86 and 4,714.63 is: 6,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.89 : 9,978.86 = 4,714.63 : x
  2. Step 2: Convert to fraction form
    7,230.89/9,978.86 = 4,714.63/x
  3. Step 3: Cross multiply
    7,230.89x = 9,978.86 × 4,714.63
  4. Step 4: Simplify right side
    7,230.89x = 47,046,619.56
  5. Step 5: Solve for x
    x = 47,046,619.56/7,230.89
  6. Step 6: Final answer
    x = 6,506.34

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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.