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Finding the Fourth Proportional to 14,400, 19,863.93 and 8,430.52

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Solution

The fourth proportional to 14,400, 19,863.93 and 8,430.52 is: 11,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 19,863.93 = 8,430.52 : x
  2. Step 2: Convert to fraction form
    14,400/19,863.93 = 8,430.52/x
  3. Step 3: Cross multiply
    14,400x = 19,863.93 × 8,430.52
  4. Step 4: Simplify right side
    14,400x = 167,463,259.14
  5. Step 5: Solve for x
    x = 167,463,259.14/14,400
  6. Step 6: Final answer
    x = 11,629.39

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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.