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Finding the Fourth Proportional to 28,491.53, 42,741.41 and 9,776.30

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Solution

The fourth proportional to 28,491.53, 42,741.41 and 9,776.30 is: 14,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,491.53 : 42,741.41 = 9,776.30 : x
  2. Step 2: Convert to fraction form
    28,491.53/42,741.41 = 9,776.30/x
  3. Step 3: Cross multiply
    28,491.53x = 42,741.41 × 9,776.30
  4. Step 4: Simplify right side
    28,491.53x = 417,852,583.99
  5. Step 5: Solve for x
    x = 417,852,583.99/28,491.53
  6. Step 6: Final answer
    x = 14,665.86

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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.