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Finding the Fourth Proportional to 10,500, 14,465.34 and 7,307.80

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Solution

The fourth proportional to 10,500, 14,465.34 and 7,307.80 is: 10,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500 : 14,465.34 = 7,307.80 : x
  2. Step 2: Convert to fraction form
    10,500/14,465.34 = 7,307.80/x
  3. Step 3: Cross multiply
    10,500x = 14,465.34 × 7,307.80
  4. Step 4: Simplify right side
    10,500x = 105,709,811.65
  5. Step 5: Solve for x
    x = 105,709,811.65/10,500
  6. Step 6: Final answer
    x = 10,067.60

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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.