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Finding the Fourth Proportional to 2,078.66, 2,869.02 and 1,417.10

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Solution

The fourth proportional to 2,078.66, 2,869.02 and 1,417.10 is: 1,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.66 : 2,869.02 = 1,417.10 : x
  2. Step 2: Convert to fraction form
    2,078.66/2,869.02 = 1,417.10/x
  3. Step 3: Cross multiply
    2,078.66x = 2,869.02 × 1,417.10
  4. Step 4: Simplify right side
    2,078.66x = 4,065,688.24
  5. Step 5: Solve for x
    x = 4,065,688.24/2,078.66
  6. Step 6: Final answer
    x = 1,955.92

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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.