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Finding the Fourth Proportional to 5,543.71, 8,315.50 and 1,383.76

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Solution

The fourth proportional to 5,543.71, 8,315.50 and 1,383.76 is: 2,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.71 : 8,315.50 = 1,383.76 : x
  2. Step 2: Convert to fraction form
    5,543.71/8,315.50 = 1,383.76/x
  3. Step 3: Cross multiply
    5,543.71x = 8,315.50 × 1,383.76
  4. Step 4: Simplify right side
    5,543.71x = 11,506,656.28
  5. Step 5: Solve for x
    x = 11,506,656.28/5,543.71
  6. Step 6: Final answer
    x = 2,075.62

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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.