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Finding the Fourth Proportional to 6,555.47, 9,829.40 and 4,477.98

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Solution

The fourth proportional to 6,555.47, 9,829.40 and 4,477.98 is: 6,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.47 : 9,829.40 = 4,477.98 : x
  2. Step 2: Convert to fraction form
    6,555.47/9,829.40 = 4,477.98/x
  3. Step 3: Cross multiply
    6,555.47x = 9,829.40 × 4,477.98
  4. Step 4: Simplify right side
    6,555.47x = 44,015,856.61
  5. Step 5: Solve for x
    x = 44,015,856.61/6,555.47
  6. Step 6: Final answer
    x = 6,714.37

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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.