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Finding the Fourth Proportional to 21,867, 32,802.93 and 7,075.32

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Solution

The fourth proportional to 21,867, 32,802.93 and 7,075.32 is: 10,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867 : 32,802.93 = 7,075.32 : x
  2. Step 2: Convert to fraction form
    21,867/32,802.93 = 7,075.32/x
  3. Step 3: Cross multiply
    21,867x = 32,802.93 × 7,075.32
  4. Step 4: Simplify right side
    21,867x = 232,091,226.69
  5. Step 5: Solve for x
    x = 232,091,226.69/21,867
  6. Step 6: Final answer
    x = 10,613.77

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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.