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Finding the Fourth Proportional to 2,101.60, 2,900.16 and 1,316.08

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Solution

The fourth proportional to 2,101.60, 2,900.16 and 1,316.08 is: 1,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.60 : 2,900.16 = 1,316.08 : x
  2. Step 2: Convert to fraction form
    2,101.60/2,900.16 = 1,316.08/x
  3. Step 3: Cross multiply
    2,101.60x = 2,900.16 × 1,316.08
  4. Step 4: Simplify right side
    2,101.60x = 3,816,842.57
  5. Step 5: Solve for x
    x = 3,816,842.57/2,101.60
  6. Step 6: Final answer
    x = 1,816.16

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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.