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Finding the Fourth Proportional to 2,014.73, 2,780.12 and 1,130.63

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Solution

The fourth proportional to 2,014.73, 2,780.12 and 1,130.63 is: 1,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.73 : 2,780.12 = 1,130.63 : x
  2. Step 2: Convert to fraction form
    2,014.73/2,780.12 = 1,130.63/x
  3. Step 3: Cross multiply
    2,014.73x = 2,780.12 × 1,130.63
  4. Step 4: Simplify right side
    2,014.73x = 3,143,281.42
  5. Step 5: Solve for x
    x = 3,143,281.42/2,014.73
  6. Step 6: Final answer
    x = 1,560.15

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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.