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Finding the Fourth Proportional to 14,616.16, 20,157.06 and 9,578.55

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Solution

The fourth proportional to 14,616.16, 20,157.06 and 9,578.55 is: 13,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.16 : 20,157.06 = 9,578.55 : x
  2. Step 2: Convert to fraction form
    14,616.16/20,157.06 = 9,578.55/x
  3. Step 3: Cross multiply
    14,616.16x = 20,157.06 × 9,578.55
  4. Step 4: Simplify right side
    14,616.16x = 193,075,407.06
  5. Step 5: Solve for x
    x = 193,075,407.06/14,616.16
  6. Step 6: Final answer
    x = 13,209.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.