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Finding the Fourth Proportional to 10,653.50, 15,980.24 and 4,803.28

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Solution

The fourth proportional to 10,653.50, 15,980.24 and 4,803.28 is: 7,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.50 : 15,980.24 = 4,803.28 : x
  2. Step 2: Convert to fraction form
    10,653.50/15,980.24 = 4,803.28/x
  3. Step 3: Cross multiply
    10,653.50x = 15,980.24 × 4,803.28
  4. Step 4: Simplify right side
    10,653.50x = 76,757,539.24
  5. Step 5: Solve for x
    x = 76,757,539.24/10,653.50
  6. Step 6: Final answer
    x = 7,204.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.