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Finding the Fourth Proportional to 10,289, 15,433.50 and 4,133

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Solution

The fourth proportional to 10,289, 15,433.50 and 4,133 is: 6,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 15,433.50 = 4,133 : x
  2. Step 2: Convert to fraction form
    10,289/15,433.50 = 4,133/x
  3. Step 3: Cross multiply
    10,289x = 15,433.50 × 4,133
  4. Step 4: Simplify right side
    10,289x = 63,786,655.50
  5. Step 5: Solve for x
    x = 63,786,655.50/10,289
  6. Step 6: Final answer
    x = 6,199.50

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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.