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Finding the Fourth Proportional to 7,155.56, 9,878.43 and 4,768.47

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Solution

The fourth proportional to 7,155.56, 9,878.43 and 4,768.47 is: 6,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.56 : 9,878.43 = 4,768.47 : x
  2. Step 2: Convert to fraction form
    7,155.56/9,878.43 = 4,768.47/x
  3. Step 3: Cross multiply
    7,155.56x = 9,878.43 × 4,768.47
  4. Step 4: Simplify right side
    7,155.56x = 47,104,997.10
  5. Step 5: Solve for x
    x = 47,104,997.10/7,155.56
  6. Step 6: Final answer
    x = 6,583.00

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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.