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Finding the Fourth Proportional to 3,117.53, 4,678.02 and 1,656.63

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Solution

The fourth proportional to 3,117.53, 4,678.02 and 1,656.63 is: 2,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.53 : 4,678.02 = 1,656.63 : x
  2. Step 2: Convert to fraction form
    3,117.53/4,678.02 = 1,656.63/x
  3. Step 3: Cross multiply
    3,117.53x = 4,678.02 × 1,656.63
  4. Step 4: Simplify right side
    3,117.53x = 7,749,748.27
  5. Step 5: Solve for x
    x = 7,749,748.27/3,117.53
  6. Step 6: Final answer
    x = 2,485.86

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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.