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Finding the Fourth Proportional to 10,563, 14,563.68 and 6,779.50

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Solution

The fourth proportional to 10,563, 14,563.68 and 6,779.50 is: 9,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563 : 14,563.68 = 6,779.50 : x
  2. Step 2: Convert to fraction form
    10,563/14,563.68 = 6,779.50/x
  3. Step 3: Cross multiply
    10,563x = 14,563.68 × 6,779.50
  4. Step 4: Simplify right side
    10,563x = 98,734,468.56
  5. Step 5: Solve for x
    x = 98,734,468.56/10,563
  6. Step 6: Final answer
    x = 9,347.20

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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.