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Finding the Fourth Proportional to 35,807.64, 53,712 and 12,434.88

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Solution

The fourth proportional to 35,807.64, 53,712 and 12,434.88 is: 18,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.64 : 53,712 = 12,434.88 : x
  2. Step 2: Convert to fraction form
    35,807.64/53,712 = 12,434.88/x
  3. Step 3: Cross multiply
    35,807.64x = 53,712 × 12,434.88
  4. Step 4: Simplify right side
    35,807.64x = 667,902,274.56
  5. Step 5: Solve for x
    x = 667,902,274.56/35,807.64
  6. Step 6: Final answer
    x = 18,652.51

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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.