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Finding the Fourth Proportional to 10,560.51, 15,829.37 and 6,865.39

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Solution

The fourth proportional to 10,560.51, 15,829.37 and 6,865.39 is: 10,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.51 : 15,829.37 = 6,865.39 : x
  2. Step 2: Convert to fraction form
    10,560.51/15,829.37 = 6,865.39/x
  3. Step 3: Cross multiply
    10,560.51x = 15,829.37 × 6,865.39
  4. Step 4: Simplify right side
    10,560.51x = 108,674,685.03
  5. Step 5: Solve for x
    x = 108,674,685.03/10,560.51
  6. Step 6: Final answer
    x = 10,290.67

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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.