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Finding the Fourth Proportional to 25,658.40, 35,408.48 and 14,480.40

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Solution

The fourth proportional to 25,658.40, 35,408.48 and 14,480.40 is: 19,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.40 : 35,408.48 = 14,480.40 : x
  2. Step 2: Convert to fraction form
    25,658.40/35,408.48 = 14,480.40/x
  3. Step 3: Cross multiply
    25,658.40x = 35,408.48 × 14,480.40
  4. Step 4: Simplify right side
    25,658.40x = 512,728,953.79
  5. Step 5: Solve for x
    x = 512,728,953.79/25,658.40
  6. Step 6: Final answer
    x = 19,982.89

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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.