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Finding the Fourth Proportional to 10,705.67, 14,768.90 and 6,930.05

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Solution

The fourth proportional to 10,705.67, 14,768.90 and 6,930.05 is: 9,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.67 : 14,768.90 = 6,930.05 : x
  2. Step 2: Convert to fraction form
    10,705.67/14,768.90 = 6,930.05/x
  3. Step 3: Cross multiply
    10,705.67x = 14,768.90 × 6,930.05
  4. Step 4: Simplify right side
    10,705.67x = 102,349,215.45
  5. Step 5: Solve for x
    x = 102,349,215.45/10,705.67
  6. Step 6: Final answer
    x = 9,560.28

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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.