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Finding the Fourth Proportional to 2,970.80, 4,458.94 and 1,511

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Solution

The fourth proportional to 2,970.80, 4,458.94 and 1,511 is: 2,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.80 : 4,458.94 = 1,511 : x
  2. Step 2: Convert to fraction form
    2,970.80/4,458.94 = 1,511/x
  3. Step 3: Cross multiply
    2,970.80x = 4,458.94 × 1,511
  4. Step 4: Simplify right side
    2,970.80x = 6,737,458.34
  5. Step 5: Solve for x
    x = 6,737,458.34/2,970.80
  6. Step 6: Final answer
    x = 2,267.89

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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.