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Finding the Fourth Proportional to 1,395.84, 2,095.16 and 1,240.68

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Solution

The fourth proportional to 1,395.84, 2,095.16 and 1,240.68 is: 1,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.84 : 2,095.16 = 1,240.68 : x
  2. Step 2: Convert to fraction form
    1,395.84/2,095.16 = 1,240.68/x
  3. Step 3: Cross multiply
    1,395.84x = 2,095.16 × 1,240.68
  4. Step 4: Simplify right side
    1,395.84x = 2,599,423.11
  5. Step 5: Solve for x
    x = 2,599,423.11/1,395.84
  6. Step 6: Final answer
    x = 1,862.26

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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.