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Finding the Fourth Proportional to 1,835.64, 2,740.12 and 1,700.47

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Solution

The fourth proportional to 1,835.64, 2,740.12 and 1,700.47 is: 2,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.64 : 2,740.12 = 1,700.47 : x
  2. Step 2: Convert to fraction form
    1,835.64/2,740.12 = 1,700.47/x
  3. Step 3: Cross multiply
    1,835.64x = 2,740.12 × 1,700.47
  4. Step 4: Simplify right side
    1,835.64x = 4,659,491.86
  5. Step 5: Solve for x
    x = 4,659,491.86/1,835.64
  6. Step 6: Final answer
    x = 2,538.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.