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Finding the Fourth Proportional to 2,681.79, 3,700.69 and 1,562.68

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Solution

The fourth proportional to 2,681.79, 3,700.69 and 1,562.68 is: 2,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.79 : 3,700.69 = 1,562.68 : x
  2. Step 2: Convert to fraction form
    2,681.79/3,700.69 = 1,562.68/x
  3. Step 3: Cross multiply
    2,681.79x = 3,700.69 × 1,562.68
  4. Step 4: Simplify right side
    2,681.79x = 5,782,994.25
  5. Step 5: Solve for x
    x = 5,782,994.25/2,681.79
  6. Step 6: Final answer
    x = 2,156.39

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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.