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Finding the Fourth Proportional to 10,603.52, 15,905.44 and 3,208.32

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Solution

The fourth proportional to 10,603.52, 15,905.44 and 3,208.32 is: 4,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.52 : 15,905.44 = 3,208.32 : x
  2. Step 2: Convert to fraction form
    10,603.52/15,905.44 = 3,208.32/x
  3. Step 3: Cross multiply
    10,603.52x = 15,905.44 × 3,208.32
  4. Step 4: Simplify right side
    10,603.52x = 51,029,741.26
  5. Step 5: Solve for x
    x = 51,029,741.26/10,603.52
  6. Step 6: Final answer
    x = 4,812.53

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1.5x scale

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.