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Finding the Fourth Proportional to 2,014.76, 2,780.14 and 1,130.38

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Solution

The fourth proportional to 2,014.76, 2,780.14 and 1,130.38 is: 1,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.76 : 2,780.14 = 1,130.38 : x
  2. Step 2: Convert to fraction form
    2,014.76/2,780.14 = 1,130.38/x
  3. Step 3: Cross multiply
    2,014.76x = 2,780.14 × 1,130.38
  4. Step 4: Simplify right side
    2,014.76x = 3,142,614.65
  5. Step 5: Solve for x
    x = 3,142,614.65/2,014.76
  6. Step 6: Final answer
    x = 1,559.80

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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.