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Finding the Fourth Proportional to 14,483, 19,986.54 and 7,859

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Solution

The fourth proportional to 14,483, 19,986.54 and 7,859 is: 10,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483 : 19,986.54 = 7,859 : x
  2. Step 2: Convert to fraction form
    14,483/19,986.54 = 7,859/x
  3. Step 3: Cross multiply
    14,483x = 19,986.54 × 7,859
  4. Step 4: Simplify right side
    14,483x = 157,074,217.86
  5. Step 5: Solve for x
    x = 157,074,217.86/14,483
  6. Step 6: Final answer
    x = 10,845.42

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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.