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Finding the Fourth Proportional to 2,160.20, 2,980.19 and 1,602.05

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Solution

The fourth proportional to 2,160.20, 2,980.19 and 1,602.05 is: 2,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.20 : 2,980.19 = 1,602.05 : x
  2. Step 2: Convert to fraction form
    2,160.20/2,980.19 = 1,602.05/x
  3. Step 3: Cross multiply
    2,160.20x = 2,980.19 × 1,602.05
  4. Step 4: Simplify right side
    2,160.20x = 4,774,402.49
  5. Step 5: Solve for x
    x = 4,774,402.49/2,160.20
  6. Step 6: Final answer
    x = 2,210.16

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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.