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Finding the Fourth Proportional to 1,985.86, 2,980.59 and 1,658.83

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Solution

The fourth proportional to 1,985.86, 2,980.59 and 1,658.83 is: 2,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.86 : 2,980.59 = 1,658.83 : x
  2. Step 2: Convert to fraction form
    1,985.86/2,980.59 = 1,658.83/x
  3. Step 3: Cross multiply
    1,985.86x = 2,980.59 × 1,658.83
  4. Step 4: Simplify right side
    1,985.86x = 4,944,277.21
  5. Step 5: Solve for x
    x = 4,944,277.21/1,985.86
  6. Step 6: Final answer
    x = 2,489.74

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1.5x scale

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.