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Finding the Fourth Proportional to 35,814.64, 49,421.80 and 19,899.08

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Solution

The fourth proportional to 35,814.64, 49,421.80 and 19,899.08 is: 27,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.64 : 49,421.80 = 19,899.08 : x
  2. Step 2: Convert to fraction form
    35,814.64/49,421.80 = 19,899.08/x
  3. Step 3: Cross multiply
    35,814.64x = 49,421.80 × 19,899.08
  4. Step 4: Simplify right side
    35,814.64x = 983,448,351.94
  5. Step 5: Solve for x
    x = 983,448,351.94/35,814.64
  6. Step 6: Final answer
    x = 27,459.40

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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.