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Finding the Fourth Proportional to 2,357.90, 3,538.20 and 898.10

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Solution

The fourth proportional to 2,357.90, 3,538.20 and 898.10 is: 1,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.90 : 3,538.20 = 898.10 : x
  2. Step 2: Convert to fraction form
    2,357.90/3,538.20 = 898.10/x
  3. Step 3: Cross multiply
    2,357.90x = 3,538.20 × 898.10
  4. Step 4: Simplify right side
    2,357.90x = 3,177,657.42
  5. Step 5: Solve for x
    x = 3,177,657.42/2,357.90
  6. Step 6: Final answer
    x = 1,347.66

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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.