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Finding the Fourth Proportional to 10,435.76, 15,636.32 and 7,509.68

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Solution

The fourth proportional to 10,435.76, 15,636.32 and 7,509.68 is: 11,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.76 : 15,636.32 = 7,509.68 : x
  2. Step 2: Convert to fraction form
    10,435.76/15,636.32 = 7,509.68/x
  3. Step 3: Cross multiply
    10,435.76x = 15,636.32 × 7,509.68
  4. Step 4: Simplify right side
    10,435.76x = 117,423,759.58
  5. Step 5: Solve for x
    x = 117,423,759.58/10,435.76
  6. Step 6: Final answer
    x = 11,252.06

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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.