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Finding the Fourth Proportional to 21,681.99, 32,529.82 and 7,641.45

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Solution

The fourth proportional to 21,681.99, 32,529.82 and 7,641.45 is: 11,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.99 : 32,529.82 = 7,641.45 : x
  2. Step 2: Convert to fraction form
    21,681.99/32,529.82 = 7,641.45/x
  3. Step 3: Cross multiply
    21,681.99x = 32,529.82 × 7,641.45
  4. Step 4: Simplify right side
    21,681.99x = 248,574,993.04
  5. Step 5: Solve for x
    x = 248,574,993.04/21,681.99
  6. Step 6: Final answer
    x = 11,464.58

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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.