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Finding the Fourth Proportional to 13,547.44, 20,321.16 and 4,776.76

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Solution

The fourth proportional to 13,547.44, 20,321.16 and 4,776.76 is: 7,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.44 : 20,321.16 = 4,776.76 : x
  2. Step 2: Convert to fraction form
    13,547.44/20,321.16 = 4,776.76/x
  3. Step 3: Cross multiply
    13,547.44x = 20,321.16 × 4,776.76
  4. Step 4: Simplify right side
    13,547.44x = 97,069,304.24
  5. Step 5: Solve for x
    x = 97,069,304.24/13,547.44
  6. Step 6: Final answer
    x = 7,165.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.