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Finding the Fourth Proportional to 2,973.80, 4,460.70 and 2,487.80

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Solution

The fourth proportional to 2,973.80, 4,460.70 and 2,487.80 is: 3,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.80 : 4,460.70 = 2,487.80 : x
  2. Step 2: Convert to fraction form
    2,973.80/4,460.70 = 2,487.80/x
  3. Step 3: Cross multiply
    2,973.80x = 4,460.70 × 2,487.80
  4. Step 4: Simplify right side
    2,973.80x = 11,097,329.46
  5. Step 5: Solve for x
    x = 11,097,329.46/2,973.80
  6. Step 6: Final answer
    x = 3,731.70

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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.