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Finding the Fourth Proportional to 2,692.58, 3,715.76 and 1,513.64

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Solution

The fourth proportional to 2,692.58, 3,715.76 and 1,513.64 is: 2,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.58 : 3,715.76 = 1,513.64 : x
  2. Step 2: Convert to fraction form
    2,692.58/3,715.76 = 1,513.64/x
  3. Step 3: Cross multiply
    2,692.58x = 3,715.76 × 1,513.64
  4. Step 4: Simplify right side
    2,692.58x = 5,624,296.82
  5. Step 5: Solve for x
    x = 5,624,296.82/2,692.58
  6. Step 6: Final answer
    x = 2,088.82

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1.5x scale

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.