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Finding the Fourth Proportional to 21,357.54, 32,014.86 and 7,307.94

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Solution

The fourth proportional to 21,357.54, 32,014.86 and 7,307.94 is: 10,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.54 : 32,014.86 = 7,307.94 : x
  2. Step 2: Convert to fraction form
    21,357.54/32,014.86 = 7,307.94/x
  3. Step 3: Cross multiply
    21,357.54x = 32,014.86 × 7,307.94
  4. Step 4: Simplify right side
    21,357.54x = 233,962,675.99
  5. Step 5: Solve for x
    x = 233,962,675.99/21,357.54
  6. Step 6: Final answer
    x = 10,954.57

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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.