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Finding the Fourth Proportional to 25,688, 38,532 and 7,220

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Solution

The fourth proportional to 25,688, 38,532 and 7,220 is: 10,830

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688 : 38,532 = 7,220 : x
  2. Step 2: Convert to fraction form
    25,688/38,532 = 7,220/x
  3. Step 3: Cross multiply
    25,688x = 38,532 × 7,220
  4. Step 4: Simplify right side
    25,688x = 278,201,040
  5. Step 5: Solve for x
    x = 278,201,040/25,688
  6. Step 6: Final answer
    x = 10,830

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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.