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Finding the Fourth Proportional to 10,852.81, 14,990.94 and 7,489.69

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Solution

The fourth proportional to 10,852.81, 14,990.94 and 7,489.69 is: 10,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.81 : 14,990.94 = 7,489.69 : x
  2. Step 2: Convert to fraction form
    10,852.81/14,990.94 = 7,489.69/x
  3. Step 3: Cross multiply
    10,852.81x = 14,990.94 × 7,489.69
  4. Step 4: Simplify right side
    10,852.81x = 112,277,493.41
  5. Step 5: Solve for x
    x = 112,277,493.41/10,852.81
  6. Step 6: Final answer
    x = 10,345.48

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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.