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Finding the Fourth Proportional to 2,159.84, 2,980.54 and 1,215.63

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Solution

The fourth proportional to 2,159.84, 2,980.54 and 1,215.63 is: 1,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.84 : 2,980.54 = 1,215.63 : x
  2. Step 2: Convert to fraction form
    2,159.84/2,980.54 = 1,215.63/x
  3. Step 3: Cross multiply
    2,159.84x = 2,980.54 × 1,215.63
  4. Step 4: Simplify right side
    2,159.84x = 3,623,224.18
  5. Step 5: Solve for x
    x = 3,623,224.18/2,159.84
  6. Step 6: Final answer
    x = 1,677.55

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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.