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Finding the Fourth Proportional to 35,478, 53,217 and 14,429.49

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Solution

The fourth proportional to 35,478, 53,217 and 14,429.49 is: 21,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478 : 53,217 = 14,429.49 : x
  2. Step 2: Convert to fraction form
    35,478/53,217 = 14,429.49/x
  3. Step 3: Cross multiply
    35,478x = 53,217 × 14,429.49
  4. Step 4: Simplify right side
    35,478x = 767,894,269.11
  5. Step 5: Solve for x
    x = 767,894,269.11/35,478
  6. Step 6: Final answer
    x = 21,644.24

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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.