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Finding the Fourth Proportional to 14,365.80, 19,823.40 and 8,078.04

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Solution

The fourth proportional to 14,365.80, 19,823.40 and 8,078.04 is: 11,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.80 : 19,823.40 = 8,078.04 : x
  2. Step 2: Convert to fraction form
    14,365.80/19,823.40 = 8,078.04/x
  3. Step 3: Cross multiply
    14,365.80x = 19,823.40 × 8,078.04
  4. Step 4: Simplify right side
    14,365.80x = 160,134,218.14
  5. Step 5: Solve for x
    x = 160,134,218.14/14,365.80
  6. Step 6: Final answer
    x = 11,146.91

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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.