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Finding the Fourth Proportional to 10,580, 15,870 and 4,424

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Solution

The fourth proportional to 10,580, 15,870 and 4,424 is: 6,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580 : 15,870 = 4,424 : x
  2. Step 2: Convert to fraction form
    10,580/15,870 = 4,424/x
  3. Step 3: Cross multiply
    10,580x = 15,870 × 4,424
  4. Step 4: Simplify right side
    10,580x = 70,208,880
  5. Step 5: Solve for x
    x = 70,208,880/10,580
  6. Step 6: Final answer
    x = 6,636

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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.