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Finding the Fourth Proportional to 1,870.48, 2,799.21 and 1,537.41

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Solution

The fourth proportional to 1,870.48, 2,799.21 and 1,537.41 is: 2,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.48 : 2,799.21 = 1,537.41 : x
  2. Step 2: Convert to fraction form
    1,870.48/2,799.21 = 1,537.41/x
  3. Step 3: Cross multiply
    1,870.48x = 2,799.21 × 1,537.41
  4. Step 4: Simplify right side
    1,870.48x = 4,303,541.06
  5. Step 5: Solve for x
    x = 4,303,541.06/1,870.48
  6. Step 6: Final answer
    x = 2,300.77

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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.