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Finding the Fourth Proportional to 10,912.61, 16,368.93 and 7,214.09

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Solution

The fourth proportional to 10,912.61, 16,368.93 and 7,214.09 is: 10,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.61 : 16,368.93 = 7,214.09 : x
  2. Step 2: Convert to fraction form
    10,912.61/16,368.93 = 7,214.09/x
  3. Step 3: Cross multiply
    10,912.61x = 16,368.93 × 7,214.09
  4. Step 4: Simplify right side
    10,912.61x = 118,086,852.38
  5. Step 5: Solve for x
    x = 118,086,852.38/10,912.61
  6. Step 6: Final answer
    x = 10,821.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.