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Finding the Fourth Proportional to 2,402.88, 3,315 and 1,695.75

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Solution

The fourth proportional to 2,402.88, 3,315 and 1,695.75 is: 2,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.88 : 3,315 = 1,695.75 : x
  2. Step 2: Convert to fraction form
    2,402.88/3,315 = 1,695.75/x
  3. Step 3: Cross multiply
    2,402.88x = 3,315 × 1,695.75
  4. Step 4: Simplify right side
    2,402.88x = 5,621,411.25
  5. Step 5: Solve for x
    x = 5,621,411.25/2,402.88
  6. Step 6: Final answer
    x = 2,339.45

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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.