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Finding the Fourth Proportional to 10,099, 15,148.58 and 3,525.19

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Solution

The fourth proportional to 10,099, 15,148.58 and 3,525.19 is: 5,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099 : 15,148.58 = 3,525.19 : x
  2. Step 2: Convert to fraction form
    10,099/15,148.58 = 3,525.19/x
  3. Step 3: Cross multiply
    10,099x = 15,148.58 × 3,525.19
  4. Step 4: Simplify right side
    10,099x = 53,401,642.98
  5. Step 5: Solve for x
    x = 53,401,642.98/10,099
  6. Step 6: Final answer
    x = 5,287.81

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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.