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Finding the Fourth Proportional to 2,140.59, 2,955.18 and 1,395

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Solution

The fourth proportional to 2,140.59, 2,955.18 and 1,395 is: 1,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.59 : 2,955.18 = 1,395 : x
  2. Step 2: Convert to fraction form
    2,140.59/2,955.18 = 1,395/x
  3. Step 3: Cross multiply
    2,140.59x = 2,955.18 × 1,395
  4. Step 4: Simplify right side
    2,140.59x = 4,122,476.10
  5. Step 5: Solve for x
    x = 4,122,476.10/2,140.59
  6. Step 6: Final answer
    x = 1,925.86

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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.