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Finding the Fourth Proportional to 14,398, 21,587.78 and 6,075.76

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Solution

The fourth proportional to 14,398, 21,587.78 and 6,075.76 is: 9,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398 : 21,587.78 = 6,075.76 : x
  2. Step 2: Convert to fraction form
    14,398/21,587.78 = 6,075.76/x
  3. Step 3: Cross multiply
    14,398x = 21,587.78 × 6,075.76
  4. Step 4: Simplify right side
    14,398x = 131,162,170.21
  5. Step 5: Solve for x
    x = 131,162,170.21/14,398
  6. Step 6: Final answer
    x = 9,109.75

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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.