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Finding the Fourth Proportional to 1,807.06, 2,492.13 and 1,609.30

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Solution

The fourth proportional to 1,807.06, 2,492.13 and 1,609.30 is: 2,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.06 : 2,492.13 = 1,609.30 : x
  2. Step 2: Convert to fraction form
    1,807.06/2,492.13 = 1,609.30/x
  3. Step 3: Cross multiply
    1,807.06x = 2,492.13 × 1,609.30
  4. Step 4: Simplify right side
    1,807.06x = 4,010,584.81
  5. Step 5: Solve for x
    x = 4,010,584.81/1,807.06
  6. Step 6: Final answer
    x = 2,219.40

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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.