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Finding the Fourth Proportional to 1,703.46, 2,549.88 and 1,312.46

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Solution

The fourth proportional to 1,703.46, 2,549.88 and 1,312.46 is: 1,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.46 : 2,549.88 = 1,312.46 : x
  2. Step 2: Convert to fraction form
    1,703.46/2,549.88 = 1,312.46/x
  3. Step 3: Cross multiply
    1,703.46x = 2,549.88 × 1,312.46
  4. Step 4: Simplify right side
    1,703.46x = 3,346,602.76
  5. Step 5: Solve for x
    x = 3,346,602.76/1,703.46
  6. Step 6: Final answer
    x = 1,964.59

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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.