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Finding the Fourth Proportional to 28,424.16, 42,645.12 and 9,704.64

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Solution

The fourth proportional to 28,424.16, 42,645.12 and 9,704.64 is: 14,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424.16 : 42,645.12 = 9,704.64 : x
  2. Step 2: Convert to fraction form
    28,424.16/42,645.12 = 9,704.64/x
  3. Step 3: Cross multiply
    28,424.16x = 42,645.12 × 9,704.64
  4. Step 4: Simplify right side
    28,424.16x = 413,855,537.36
  5. Step 5: Solve for x
    x = 413,855,537.36/28,424.16
  6. Step 6: Final answer
    x = 14,559.99

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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.