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Finding the Fourth Proportional to 2,101.68, 2,900.26 and 1,157.50

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Solution

The fourth proportional to 2,101.68, 2,900.26 and 1,157.50 is: 1,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.68 : 2,900.26 = 1,157.50 : x
  2. Step 2: Convert to fraction form
    2,101.68/2,900.26 = 1,157.50/x
  3. Step 3: Cross multiply
    2,101.68x = 2,900.26 × 1,157.50
  4. Step 4: Simplify right side
    2,101.68x = 3,357,050.95
  5. Step 5: Solve for x
    x = 3,357,050.95/2,101.68
  6. Step 6: Final answer
    x = 1,597.32

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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.