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Finding the Fourth Proportional to 28,986.64, 43,471.32 and 9,264.40

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Solution

The fourth proportional to 28,986.64, 43,471.32 and 9,264.40 is: 13,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,986.64 : 43,471.32 = 9,264.40 : x
  2. Step 2: Convert to fraction form
    28,986.64/43,471.32 = 9,264.40/x
  3. Step 3: Cross multiply
    28,986.64x = 43,471.32 × 9,264.40
  4. Step 4: Simplify right side
    28,986.64x = 402,735,697.01
  5. Step 5: Solve for x
    x = 402,735,697.01/28,986.64
  6. Step 6: Final answer
    x = 13,893.84

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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.