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Finding the Fourth Proportional to 1,697.76, 2,342.21 and 1,130.85

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Solution

The fourth proportional to 1,697.76, 2,342.21 and 1,130.85 is: 1,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.76 : 2,342.21 = 1,130.85 : x
  2. Step 2: Convert to fraction form
    1,697.76/2,342.21 = 1,130.85/x
  3. Step 3: Cross multiply
    1,697.76x = 2,342.21 × 1,130.85
  4. Step 4: Simplify right side
    1,697.76x = 2,648,682.52
  5. Step 5: Solve for x
    x = 2,648,682.52/1,697.76
  6. Step 6: Final answer
    x = 1,560.10

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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.