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Finding the Fourth Proportional to 11,886.16, 16,394.40 and 7,905.28

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Solution

The fourth proportional to 11,886.16, 16,394.40 and 7,905.28 is: 10,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.16 : 16,394.40 = 7,905.28 : x
  2. Step 2: Convert to fraction form
    11,886.16/16,394.40 = 7,905.28/x
  3. Step 3: Cross multiply
    11,886.16x = 16,394.40 × 7,905.28
  4. Step 4: Simplify right side
    11,886.16x = 129,602,322.43
  5. Step 5: Solve for x
    x = 129,602,322.43/11,886.16
  6. Step 6: Final answer
    x = 10,903.63

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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.