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Finding the Fourth Proportional to 5,290.68, 7,936.02 and 1,780.05

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Solution

The fourth proportional to 5,290.68, 7,936.02 and 1,780.05 is: 2,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.68 : 7,936.02 = 1,780.05 : x
  2. Step 2: Convert to fraction form
    5,290.68/7,936.02 = 1,780.05/x
  3. Step 3: Cross multiply
    5,290.68x = 7,936.02 × 1,780.05
  4. Step 4: Simplify right side
    5,290.68x = 14,126,512.40
  5. Step 5: Solve for x
    x = 14,126,512.40/5,290.68
  6. Step 6: Final answer
    x = 2,670.08

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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.