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Finding the Fourth Proportional to 1,853.76, 2,777.04 and 986.88

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Solution

The fourth proportional to 1,853.76, 2,777.04 and 986.88 is: 1,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.76 : 2,777.04 = 986.88 : x
  2. Step 2: Convert to fraction form
    1,853.76/2,777.04 = 986.88/x
  3. Step 3: Cross multiply
    1,853.76x = 2,777.04 × 986.88
  4. Step 4: Simplify right side
    1,853.76x = 2,740,605.24
  5. Step 5: Solve for x
    x = 2,740,605.24/1,853.76
  6. Step 6: Final answer
    x = 1,478.40

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1.5x scale

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.