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Finding the Fourth Proportional to 1,675.96, 2,511.64 and 1,264.76

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Solution

The fourth proportional to 1,675.96, 2,511.64 and 1,264.76 is: 1,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.96 : 2,511.64 = 1,264.76 : x
  2. Step 2: Convert to fraction form
    1,675.96/2,511.64 = 1,264.76/x
  3. Step 3: Cross multiply
    1,675.96x = 2,511.64 × 1,264.76
  4. Step 4: Simplify right side
    1,675.96x = 3,176,621.81
  5. Step 5: Solve for x
    x = 3,176,621.81/1,675.96
  6. Step 6: Final answer
    x = 1,895.40

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1.5x scale

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.