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Finding the Fourth Proportional to 28,941.22, 43,415 and 9,215.14

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Solution

The fourth proportional to 28,941.22, 43,415 and 9,215.14 is: 13,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,941.22 : 43,415 = 9,215.14 : x
  2. Step 2: Convert to fraction form
    28,941.22/43,415 = 9,215.14/x
  3. Step 3: Cross multiply
    28,941.22x = 43,415 × 9,215.14
  4. Step 4: Simplify right side
    28,941.22x = 400,075,303.10
  5. Step 5: Solve for x
    x = 400,075,303.10/28,941.22
  6. Step 6: Final answer
    x = 13,823.72

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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.