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Finding the Fourth Proportional to 11,905.68, 16,430.28 and 8,368.08

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Solution

The fourth proportional to 11,905.68, 16,430.28 and 8,368.08 is: 11,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.68 : 16,430.28 = 8,368.08 : x
  2. Step 2: Convert to fraction form
    11,905.68/16,430.28 = 8,368.08/x
  3. Step 3: Cross multiply
    11,905.68x = 16,430.28 × 8,368.08
  4. Step 4: Simplify right side
    11,905.68x = 137,489,897.46
  5. Step 5: Solve for x
    x = 137,489,897.46/11,905.68
  6. Step 6: Final answer
    x = 11,548.26

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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.