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Finding the Fourth Proportional to 10,678.66, 14,728.77 and 7,135.66

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Solution

The fourth proportional to 10,678.66, 14,728.77 and 7,135.66 is: 9,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.66 : 14,728.77 = 7,135.66 : x
  2. Step 2: Convert to fraction form
    10,678.66/14,728.77 = 7,135.66/x
  3. Step 3: Cross multiply
    10,678.66x = 14,728.77 × 7,135.66
  4. Step 4: Simplify right side
    10,678.66x = 105,099,494.94
  5. Step 5: Solve for x
    x = 105,099,494.94/10,678.66
  6. Step 6: Final answer
    x = 9,842.01

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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.