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Finding the Fourth Proportional to 4,380, 6,570 and 1,302

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Solution

The fourth proportional to 4,380, 6,570 and 1,302 is: 1,953

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380 : 6,570 = 1,302 : x
  2. Step 2: Convert to fraction form
    4,380/6,570 = 1,302/x
  3. Step 3: Cross multiply
    4,380x = 6,570 × 1,302
  4. Step 4: Simplify right side
    4,380x = 8,554,140
  5. Step 5: Solve for x
    x = 8,554,140/4,380
  6. Step 6: Final answer
    x = 1,953

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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.