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Finding the Fourth Proportional to 7,178.67, 10,705.19 and 7,113.06

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Solution

The fourth proportional to 7,178.67, 10,705.19 and 7,113.06 is: 10,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.67 : 10,705.19 = 7,113.06 : x
  2. Step 2: Convert to fraction form
    7,178.67/10,705.19 = 7,113.06/x
  3. Step 3: Cross multiply
    7,178.67x = 10,705.19 × 7,113.06
  4. Step 4: Simplify right side
    7,178.67x = 76,146,623.22
  5. Step 5: Solve for x
    x = 76,146,623.22/7,178.67
  6. Step 6: Final answer
    x = 10,607.34

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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.