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Finding the Fourth Proportional to 28,636.16, 42,943.74 and 9,911.36

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Solution

The fourth proportional to 28,636.16, 42,943.74 and 9,911.36 is: 14,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,636.16 : 42,943.74 = 9,911.36 : x
  2. Step 2: Convert to fraction form
    28,636.16/42,943.74 = 9,911.36/x
  3. Step 3: Cross multiply
    28,636.16x = 42,943.74 × 9,911.36
  4. Step 4: Simplify right side
    28,636.16x = 425,630,866.89
  5. Step 5: Solve for x
    x = 425,630,866.89/28,636.16
  6. Step 6: Final answer
    x = 14,863.41

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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.