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Finding the Fourth Proportional to 25,490, 35,179.44 and 14,312

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Solution

The fourth proportional to 25,490, 35,179.44 and 14,312 is: 19,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490 : 35,179.44 = 14,312 : x
  2. Step 2: Convert to fraction form
    25,490/35,179.44 = 14,312/x
  3. Step 3: Cross multiply
    25,490x = 35,179.44 × 14,312
  4. Step 4: Simplify right side
    25,490x = 503,488,145.28
  5. Step 5: Solve for x
    x = 503,488,145.28/25,490
  6. Step 6: Final answer
    x = 19,752.38

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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.