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Finding the Fourth Proportional to 25,176, 34,742.88 and 13,998

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Solution

The fourth proportional to 25,176, 34,742.88 and 13,998 is: 19,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176 : 34,742.88 = 13,998 : x
  2. Step 2: Convert to fraction form
    25,176/34,742.88 = 13,998/x
  3. Step 3: Cross multiply
    25,176x = 34,742.88 × 13,998
  4. Step 4: Simplify right side
    25,176x = 486,330,834.24
  5. Step 5: Solve for x
    x = 486,330,834.24/25,176
  6. Step 6: Final answer
    x = 19,317.24

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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.