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Finding the Fourth Proportional to 1,980.23, 2,971.16 and 869.07

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Solution

The fourth proportional to 1,980.23, 2,971.16 and 869.07 is: 1,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.23 : 2,971.16 = 869.07 : x
  2. Step 2: Convert to fraction form
    1,980.23/2,971.16 = 869.07/x
  3. Step 3: Cross multiply
    1,980.23x = 2,971.16 × 869.07
  4. Step 4: Simplify right side
    1,980.23x = 2,582,146.02
  5. Step 5: Solve for x
    x = 2,582,146.02/1,980.23
  6. Step 6: Final answer
    x = 1,303.96

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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.