Home / 1,977.10-2,966.16-1,156.07

Finding the Fourth Proportional to 1,977.10, 2,966.16 and 1,156.07

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Solution

The fourth proportional to 1,977.10, 2,966.16 and 1,156.07 is: 1,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.10 : 2,966.16 = 1,156.07 : x
  2. Step 2: Convert to fraction form
    1,977.10/2,966.16 = 1,156.07/x
  3. Step 3: Cross multiply
    1,977.10x = 2,966.16 × 1,156.07
  4. Step 4: Simplify right side
    1,977.10x = 3,429,088.59
  5. Step 5: Solve for x
    x = 3,429,088.59/1,977.10
  6. Step 6: Final answer
    x = 1,734.40

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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.