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Finding the Fourth Proportional to 2,154.44, 2,973.12 and 1,210.22

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Solution

The fourth proportional to 2,154.44, 2,973.12 and 1,210.22 is: 1,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.44 : 2,973.12 = 1,210.22 : x
  2. Step 2: Convert to fraction form
    2,154.44/2,973.12 = 1,210.22/x
  3. Step 3: Cross multiply
    2,154.44x = 2,973.12 × 1,210.22
  4. Step 4: Simplify right side
    2,154.44x = 3,598,129.29
  5. Step 5: Solve for x
    x = 3,598,129.29/2,154.44
  6. Step 6: Final answer
    x = 1,670.10

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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.