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Finding the Fourth Proportional to 25,784.99, 38,666.55 and 9,149.21

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Solution

The fourth proportional to 25,784.99, 38,666.55 and 9,149.21 is: 13,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.99 : 38,666.55 = 9,149.21 : x
  2. Step 2: Convert to fraction form
    25,784.99/38,666.55 = 9,149.21/x
  3. Step 3: Cross multiply
    25,784.99x = 38,666.55 × 9,149.21
  4. Step 4: Simplify right side
    25,784.99x = 353,768,385.93
  5. Step 5: Solve for x
    x = 353,768,385.93/25,784.99
  6. Step 6: Final answer
    x = 13,719.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.