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Finding the Fourth Proportional to 10,400.74, 15,603.76 and 3,005.76

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Solution

The fourth proportional to 10,400.74, 15,603.76 and 3,005.76 is: 4,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.74 : 15,603.76 = 3,005.76 : x
  2. Step 2: Convert to fraction form
    10,400.74/15,603.76 = 3,005.76/x
  3. Step 3: Cross multiply
    10,400.74x = 15,603.76 × 3,005.76
  4. Step 4: Simplify right side
    10,400.74x = 46,901,157.66
  5. Step 5: Solve for x
    x = 46,901,157.66/10,400.74
  6. Step 6: Final answer
    x = 4,509.41

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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.