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Finding the Fourth Proportional to 10,579.40, 15,861.90 and 5,035.40

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Solution

The fourth proportional to 10,579.40, 15,861.90 and 5,035.40 is: 7,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.40 : 15,861.90 = 5,035.40 : x
  2. Step 2: Convert to fraction form
    10,579.40/15,861.90 = 5,035.40/x
  3. Step 3: Cross multiply
    10,579.40x = 15,861.90 × 5,035.40
  4. Step 4: Simplify right side
    10,579.40x = 79,871,011.26
  5. Step 5: Solve for x
    x = 79,871,011.26/10,579.40
  6. Step 6: Final answer
    x = 7,549.67

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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.