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Finding the Fourth Proportional to 10,905.16, 16,364.90 and 5,978.28

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Solution

The fourth proportional to 10,905.16, 16,364.90 and 5,978.28 is: 8,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.16 : 16,364.90 = 5,978.28 : x
  2. Step 2: Convert to fraction form
    10,905.16/16,364.90 = 5,978.28/x
  3. Step 3: Cross multiply
    10,905.16x = 16,364.90 × 5,978.28
  4. Step 4: Simplify right side
    10,905.16x = 97,833,954.37
  5. Step 5: Solve for x
    x = 97,833,954.37/10,905.16
  6. Step 6: Final answer
    x = 8,971.35

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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.