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Finding the Fourth Proportional to 2,013.80, 2,779.10 and 1,129.84

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Solution

The fourth proportional to 2,013.80, 2,779.10 and 1,129.84 is: 1,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.80 : 2,779.10 = 1,129.84 : x
  2. Step 2: Convert to fraction form
    2,013.80/2,779.10 = 1,129.84/x
  3. Step 3: Cross multiply
    2,013.80x = 2,779.10 × 1,129.84
  4. Step 4: Simplify right side
    2,013.80x = 3,139,938.34
  5. Step 5: Solve for x
    x = 3,139,938.34/2,013.80
  6. Step 6: Final answer
    x = 1,559.21

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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.