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Finding the Fourth Proportional to 1,873.95, 2,809.90 and 1,564.12

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Solution

The fourth proportional to 1,873.95, 2,809.90 and 1,564.12 is: 2,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.95 : 2,809.90 = 1,564.12 : x
  2. Step 2: Convert to fraction form
    1,873.95/2,809.90 = 1,564.12/x
  3. Step 3: Cross multiply
    1,873.95x = 2,809.90 × 1,564.12
  4. Step 4: Simplify right side
    1,873.95x = 4,395,020.79
  5. Step 5: Solve for x
    x = 4,395,020.79/1,873.95
  6. Step 6: Final answer
    x = 2,345.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.