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Finding the Fourth Proportional to 13,564.76, 20,345.88 and 5,239.76

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Solution

The fourth proportional to 13,564.76, 20,345.88 and 5,239.76 is: 7,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.76 : 20,345.88 = 5,239.76 : x
  2. Step 2: Convert to fraction form
    13,564.76/20,345.88 = 5,239.76/x
  3. Step 3: Cross multiply
    13,564.76x = 20,345.88 × 5,239.76
  4. Step 4: Simplify right side
    13,564.76x = 106,607,528.19
  5. Step 5: Solve for x
    x = 106,607,528.19/13,564.76
  6. Step 6: Final answer
    x = 7,859.15

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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.