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Finding the Fourth Proportional to 1,767.68, 2,646.48 and 1,403

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Solution

The fourth proportional to 1,767.68, 2,646.48 and 1,403 is: 2,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.68 : 2,646.48 = 1,403 : x
  2. Step 2: Convert to fraction form
    1,767.68/2,646.48 = 1,403/x
  3. Step 3: Cross multiply
    1,767.68x = 2,646.48 × 1,403
  4. Step 4: Simplify right side
    1,767.68x = 3,713,011.44
  5. Step 5: Solve for x
    x = 3,713,011.44/1,767.68
  6. Step 6: Final answer
    x = 2,100.50

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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.