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Finding the Fourth Proportional to 14,235, 21,352.50 and 4,507

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Solution

The fourth proportional to 14,235, 21,352.50 and 4,507 is: 6,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235 : 21,352.50 = 4,507 : x
  2. Step 2: Convert to fraction form
    14,235/21,352.50 = 4,507/x
  3. Step 3: Cross multiply
    14,235x = 21,352.50 × 4,507
  4. Step 4: Simplify right side
    14,235x = 96,235,717.50
  5. Step 5: Solve for x
    x = 96,235,717.50/14,235
  6. Step 6: Final answer
    x = 6,760.50

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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.