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Finding the Fourth Proportional to 10,064.82, 15,090.35 and 5,124.90

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Solution

The fourth proportional to 10,064.82, 15,090.35 and 5,124.90 is: 7,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.82 : 15,090.35 = 5,124.90 : x
  2. Step 2: Convert to fraction form
    10,064.82/15,090.35 = 5,124.90/x
  3. Step 3: Cross multiply
    10,064.82x = 15,090.35 × 5,124.90
  4. Step 4: Simplify right side
    10,064.82x = 77,336,509.09
  5. Step 5: Solve for x
    x = 77,336,509.09/10,064.82
  6. Step 6: Final answer
    x = 7,683.84

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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.