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Finding the Fourth Proportional to 21,465, 32,197.50 and 9,153

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Solution

The fourth proportional to 21,465, 32,197.50 and 9,153 is: 13,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465 : 32,197.50 = 9,153 : x
  2. Step 2: Convert to fraction form
    21,465/32,197.50 = 9,153/x
  3. Step 3: Cross multiply
    21,465x = 32,197.50 × 9,153
  4. Step 4: Simplify right side
    21,465x = 294,703,717.50
  5. Step 5: Solve for x
    x = 294,703,717.50/21,465
  6. Step 6: Final answer
    x = 13,729.50

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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.