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Finding the Fourth Proportional to 14,135.85, 19,506.71 and 7,847.82

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Solution

The fourth proportional to 14,135.85, 19,506.71 and 7,847.82 is: 10,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.85 : 19,506.71 = 7,847.82 : x
  2. Step 2: Convert to fraction form
    14,135.85/19,506.71 = 7,847.82/x
  3. Step 3: Cross multiply
    14,135.85x = 19,506.71 × 7,847.82
  4. Step 4: Simplify right side
    14,135.85x = 153,085,109.63
  5. Step 5: Solve for x
    x = 153,085,109.63/14,135.85
  6. Step 6: Final answer
    x = 10,829.57

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1.5x scale

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.