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Finding the Fourth Proportional to 3,390, 4,678.60 and 1,898.16

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Solution

The fourth proportional to 3,390, 4,678.60 and 1,898.16 is: 2,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390 : 4,678.60 = 1,898.16 : x
  2. Step 2: Convert to fraction form
    3,390/4,678.60 = 1,898.16/x
  3. Step 3: Cross multiply
    3,390x = 4,678.60 × 1,898.16
  4. Step 4: Simplify right side
    3,390x = 8,880,731.38
  5. Step 5: Solve for x
    x = 8,880,731.38/3,390
  6. Step 6: Final answer
    x = 2,619.68

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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.