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Finding the Fourth Proportional to 18,728.64, 28,075.20 and 6,408

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Solution

The fourth proportional to 18,728.64, 28,075.20 and 6,408 is: 9,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,728.64 : 28,075.20 = 6,408 : x
  2. Step 2: Convert to fraction form
    18,728.64/28,075.20 = 6,408/x
  3. Step 3: Cross multiply
    18,728.64x = 28,075.20 × 6,408
  4. Step 4: Simplify right side
    18,728.64x = 179,905,881.60
  5. Step 5: Solve for x
    x = 179,905,881.60/18,728.64
  6. Step 6: Final answer
    x = 9,605.92

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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.