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Finding the Fourth Proportional to 25,368, 35,007.84 and 14,190

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Solution

The fourth proportional to 25,368, 35,007.84 and 14,190 is: 19,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,368 : 35,007.84 = 14,190 : x
  2. Step 2: Convert to fraction form
    25,368/35,007.84 = 14,190/x
  3. Step 3: Cross multiply
    25,368x = 35,007.84 × 14,190
  4. Step 4: Simplify right side
    25,368x = 496,761,249.60
  5. Step 5: Solve for x
    x = 496,761,249.60/25,368
  6. Step 6: Final answer
    x = 19,582.20

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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.