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Finding the Fourth Proportional to 7,178.44, 10,703.51 and 7,164.40

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Solution

The fourth proportional to 7,178.44, 10,703.51 and 7,164.40 is: 10,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.44 : 10,703.51 = 7,164.40 : x
  2. Step 2: Convert to fraction form
    7,178.44/10,703.51 = 7,164.40/x
  3. Step 3: Cross multiply
    7,178.44x = 10,703.51 × 7,164.40
  4. Step 4: Simplify right side
    7,178.44x = 76,684,227.04
  5. Step 5: Solve for x
    x = 76,684,227.04/7,178.44
  6. Step 6: Final answer
    x = 10,682.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.