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Finding the Fourth Proportional to 2,135.61, 2,948.19 and 1,655.99

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Solution

The fourth proportional to 2,135.61, 2,948.19 and 1,655.99 is: 2,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.61 : 2,948.19 = 1,655.99 : x
  2. Step 2: Convert to fraction form
    2,135.61/2,948.19 = 1,655.99/x
  3. Step 3: Cross multiply
    2,135.61x = 2,948.19 × 1,655.99
  4. Step 4: Simplify right side
    2,135.61x = 4,882,173.16
  5. Step 5: Solve for x
    x = 4,882,173.16/2,135.61
  6. Step 6: Final answer
    x = 2,286.08

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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.