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Finding the Fourth Proportional to 7,008, 10,513.44 and 2,904

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Solution

The fourth proportional to 7,008, 10,513.44 and 2,904 is: 4,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008 : 10,513.44 = 2,904 : x
  2. Step 2: Convert to fraction form
    7,008/10,513.44 = 2,904/x
  3. Step 3: Cross multiply
    7,008x = 10,513.44 × 2,904
  4. Step 4: Simplify right side
    7,008x = 30,531,029.76
  5. Step 5: Solve for x
    x = 30,531,029.76/7,008
  6. Step 6: Final answer
    x = 4,356.60

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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.