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Finding the Fourth Proportional to 1,700, 2,345.80 and 992.00

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Solution

The fourth proportional to 1,700, 2,345.80 and 992.00 is: 1,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700 : 2,345.80 = 992.00 : x
  2. Step 2: Convert to fraction form
    1,700/2,345.80 = 992.00/x
  3. Step 3: Cross multiply
    1,700x = 2,345.80 × 992.00
  4. Step 4: Simplify right side
    1,700x = 2,327,016.91
  5. Step 5: Solve for x
    x = 2,327,016.91/1,700
  6. Step 6: Final answer
    x = 1,368.83

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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.