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Finding the Fourth Proportional to 4,875.76, 7,309.80 and 1,755.28

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Solution

The fourth proportional to 4,875.76, 7,309.80 and 1,755.28 is: 2,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.76 : 7,309.80 = 1,755.28 : x
  2. Step 2: Convert to fraction form
    4,875.76/7,309.80 = 1,755.28/x
  3. Step 3: Cross multiply
    4,875.76x = 7,309.80 × 1,755.28
  4. Step 4: Simplify right side
    4,875.76x = 12,830,745.74
  5. Step 5: Solve for x
    x = 12,830,745.74/4,875.76
  6. Step 6: Final answer
    x = 2,631.54

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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.