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Finding the Fourth Proportional to 10,602, 14,622.84 and 8,932.56

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Solution

The fourth proportional to 10,602, 14,622.84 and 8,932.56 is: 12,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602 : 14,622.84 = 8,932.56 : x
  2. Step 2: Convert to fraction form
    10,602/14,622.84 = 8,932.56/x
  3. Step 3: Cross multiply
    10,602x = 14,622.84 × 8,932.56
  4. Step 4: Simplify right side
    10,602x = 130,619,395.67
  5. Step 5: Solve for x
    x = 130,619,395.67/10,602
  6. Step 6: Final answer
    x = 12,320.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.