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Finding the Fourth Proportional to 25,775.84, 38,678.64 and 13,929.65

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Solution

The fourth proportional to 25,775.84, 38,678.64 and 13,929.65 is: 20,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.84 : 38,678.64 = 13,929.65 : x
  2. Step 2: Convert to fraction form
    25,775.84/38,678.64 = 13,929.65/x
  3. Step 3: Cross multiply
    25,775.84x = 38,678.64 × 13,929.65
  4. Step 4: Simplify right side
    25,775.84x = 538,779,917.68
  5. Step 5: Solve for x
    x = 538,779,917.68/25,775.84
  6. Step 6: Final answer
    x = 20,902.52

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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.