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Finding the Fourth Proportional to 2,102.61, 2,903.14 and 1,357.01

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Solution

The fourth proportional to 2,102.61, 2,903.14 and 1,357.01 is: 1,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.61 : 2,903.14 = 1,357.01 : x
  2. Step 2: Convert to fraction form
    2,102.61/2,903.14 = 1,357.01/x
  3. Step 3: Cross multiply
    2,102.61x = 2,903.14 × 1,357.01
  4. Step 4: Simplify right side
    2,102.61x = 3,939,590.01
  5. Step 5: Solve for x
    x = 3,939,590.01/2,102.61
  6. Step 6: Final answer
    x = 1,873.67

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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.