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Finding the Fourth Proportional to 8,703, 12,010.20 and 4,977

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Solution

The fourth proportional to 8,703, 12,010.20 and 4,977 is: 6,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703 : 12,010.20 = 4,977 : x
  2. Step 2: Convert to fraction form
    8,703/12,010.20 = 4,977/x
  3. Step 3: Cross multiply
    8,703x = 12,010.20 × 4,977
  4. Step 4: Simplify right side
    8,703x = 59,774,765.40
  5. Step 5: Solve for x
    x = 59,774,765.40/8,703
  6. Step 6: Final answer
    x = 6,868.29

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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.