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Finding the Fourth Proportional to 14,475, 19,975.50 and 7,851

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Solution

The fourth proportional to 14,475, 19,975.50 and 7,851 is: 10,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475 : 19,975.50 = 7,851 : x
  2. Step 2: Convert to fraction form
    14,475/19,975.50 = 7,851/x
  3. Step 3: Cross multiply
    14,475x = 19,975.50 × 7,851
  4. Step 4: Simplify right side
    14,475x = 156,827,650.50
  5. Step 5: Solve for x
    x = 156,827,650.50/14,475
  6. Step 6: Final answer
    x = 10,834.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.