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Finding the Fourth Proportional to 13,028.84, 19,547.94 and 5,126.99

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Solution

The fourth proportional to 13,028.84, 19,547.94 and 5,126.99 is: 7,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.84 : 19,547.94 = 5,126.99 : x
  2. Step 2: Convert to fraction form
    13,028.84/19,547.94 = 5,126.99/x
  3. Step 3: Cross multiply
    13,028.84x = 19,547.94 × 5,126.99
  4. Step 4: Simplify right side
    13,028.84x = 100,221,995.16
  5. Step 5: Solve for x
    x = 100,221,995.16/13,028.84
  6. Step 6: Final answer
    x = 7,692.32

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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.