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Finding the Fourth Proportional to 2,014.80, 2,780.63 and 1,130.68

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Solution

The fourth proportional to 2,014.80, 2,780.63 and 1,130.68 is: 1,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.80 : 2,780.63 = 1,130.68 : x
  2. Step 2: Convert to fraction form
    2,014.80/2,780.63 = 1,130.68/x
  3. Step 3: Cross multiply
    2,014.80x = 2,780.63 × 1,130.68
  4. Step 4: Simplify right side
    2,014.80x = 3,144,002.73
  5. Step 5: Solve for x
    x = 3,144,002.73/2,014.80
  6. Step 6: Final answer
    x = 1,560.45

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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.