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Finding the Fourth Proportional to 10,563.64, 14,578.84 and 7,028

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Solution

The fourth proportional to 10,563.64, 14,578.84 and 7,028 is: 9,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.64 : 14,578.84 = 7,028 : x
  2. Step 2: Convert to fraction form
    10,563.64/14,578.84 = 7,028/x
  3. Step 3: Cross multiply
    10,563.64x = 14,578.84 × 7,028
  4. Step 4: Simplify right side
    10,563.64x = 102,460,087.52
  5. Step 5: Solve for x
    x = 102,460,087.52/10,563.64
  6. Step 6: Final answer
    x = 9,699.32

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Why These Related Problems?

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