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Finding the Fourth Proportional to 21,575, 32,364.54 and 7,537.56

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Solution

The fourth proportional to 21,575, 32,364.54 and 7,537.56 is: 11,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575 : 32,364.54 = 7,537.56 : x
  2. Step 2: Convert to fraction form
    21,575/32,364.54 = 7,537.56/x
  3. Step 3: Cross multiply
    21,575x = 32,364.54 × 7,537.56
  4. Step 4: Simplify right side
    21,575x = 243,949,662.12
  5. Step 5: Solve for x
    x = 243,949,662.12/21,575
  6. Step 6: Final answer
    x = 11,307.05

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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.