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Finding the Fourth Proportional to 2,101.84, 2,900.49 and 1,316.32

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Solution

The fourth proportional to 2,101.84, 2,900.49 and 1,316.32 is: 1,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.84 : 2,900.49 = 1,316.32 : x
  2. Step 2: Convert to fraction form
    2,101.84/2,900.49 = 1,316.32/x
  3. Step 3: Cross multiply
    2,101.84x = 2,900.49 × 1,316.32
  4. Step 4: Simplify right side
    2,101.84x = 3,817,973.00
  5. Step 5: Solve for x
    x = 3,817,973.00/2,101.84
  6. Step 6: Final answer
    x = 1,816.49

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1.5x scale

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.