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Finding the Fourth Proportional to 13,802.40, 20,687.40 and 5,031.72

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Solution

The fourth proportional to 13,802.40, 20,687.40 and 5,031.72 is: 7,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.40 : 20,687.40 = 5,031.72 : x
  2. Step 2: Convert to fraction form
    13,802.40/20,687.40 = 5,031.72/x
  3. Step 3: Cross multiply
    13,802.40x = 20,687.40 × 5,031.72
  4. Step 4: Simplify right side
    13,802.40x = 104,093,204.33
  5. Step 5: Solve for x
    x = 104,093,204.33/13,802.40
  6. Step 6: Final answer
    x = 7,541.67

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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.