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Finding the Fourth Proportional to 10,602.81, 15,889.35 and 7,968.63

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Solution

The fourth proportional to 10,602.81, 15,889.35 and 7,968.63 is: 11,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.81 : 15,889.35 = 7,968.63 : x
  2. Step 2: Convert to fraction form
    10,602.81/15,889.35 = 7,968.63/x
  3. Step 3: Cross multiply
    10,602.81x = 15,889.35 × 7,968.63
  4. Step 4: Simplify right side
    10,602.81x = 126,616,351.09
  5. Step 5: Solve for x
    x = 126,616,351.09/10,602.81
  6. Step 6: Final answer
    x = 11,941.77

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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.