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Finding the Fourth Proportional to 1,980.24, 2,978.88 and 1,652.16

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Solution

The fourth proportional to 1,980.24, 2,978.88 and 1,652.16 is: 2,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.24 : 2,978.88 = 1,652.16 : x
  2. Step 2: Convert to fraction form
    1,980.24/2,978.88 = 1,652.16/x
  3. Step 3: Cross multiply
    1,980.24x = 2,978.88 × 1,652.16
  4. Step 4: Simplify right side
    1,980.24x = 4,921,586.38
  5. Step 5: Solve for x
    x = 4,921,586.38/1,980.24
  6. Step 6: Final answer
    x = 2,485.35

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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.