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Finding the Fourth Proportional to 35,421, 48,880.98 and 19,505.42

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Solution

The fourth proportional to 35,421, 48,880.98 and 19,505.42 is: 26,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,421 : 48,880.98 = 19,505.42 : x
  2. Step 2: Convert to fraction form
    35,421/48,880.98 = 19,505.42/x
  3. Step 3: Cross multiply
    35,421x = 48,880.98 × 19,505.42
  4. Step 4: Simplify right side
    35,421x = 953,443,800.51
  5. Step 5: Solve for x
    x = 953,443,800.51/35,421
  6. Step 6: Final answer
    x = 26,917.47

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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.