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Finding the Fourth Proportional to 14,277.80, 19,707.84 and 9,807.80

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Solution

The fourth proportional to 14,277.80, 19,707.84 and 9,807.80 is: 13,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.80 : 19,707.84 = 9,807.80 : x
  2. Step 2: Convert to fraction form
    14,277.80/19,707.84 = 9,807.80/x
  3. Step 3: Cross multiply
    14,277.80x = 19,707.84 × 9,807.80
  4. Step 4: Simplify right side
    14,277.80x = 193,290,553.15
  5. Step 5: Solve for x
    x = 193,290,553.15/14,277.80
  6. Step 6: Final answer
    x = 13,537.84

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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.