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Finding the Fourth Proportional to 10,600.40, 14,622 and 7,015.40

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Solution

The fourth proportional to 10,600.40, 14,622 and 7,015.40 is: 9,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.40 : 14,622 = 7,015.40 : x
  2. Step 2: Convert to fraction form
    10,600.40/14,622 = 7,015.40/x
  3. Step 3: Cross multiply
    10,600.40x = 14,622 × 7,015.40
  4. Step 4: Simplify right side
    10,600.40x = 102,579,178.80
  5. Step 5: Solve for x
    x = 102,579,178.80/10,600.40
  6. Step 6: Final answer
    x = 9,676.92

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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.