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Finding the Fourth Proportional to 35,813.64, 53,721 and 12,440.64

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Solution

The fourth proportional to 35,813.64, 53,721 and 12,440.64 is: 18,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.64 : 53,721 = 12,440.64 : x
  2. Step 2: Convert to fraction form
    35,813.64/53,721 = 12,440.64/x
  3. Step 3: Cross multiply
    35,813.64x = 53,721 × 12,440.64
  4. Step 4: Simplify right side
    35,813.64x = 668,323,621.44
  5. Step 5: Solve for x
    x = 668,323,621.44/35,813.64
  6. Step 6: Final answer
    x = 18,661.15

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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.