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Finding the Fourth Proportional to 5,145.70, 7,699.05 and 3,417.70

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Solution

The fourth proportional to 5,145.70, 7,699.05 and 3,417.70 is: 5,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.70 : 7,699.05 = 3,417.70 : x
  2. Step 2: Convert to fraction form
    5,145.70/7,699.05 = 3,417.70/x
  3. Step 3: Cross multiply
    5,145.70x = 7,699.05 × 3,417.70
  4. Step 4: Simplify right side
    5,145.70x = 26,313,043.19
  5. Step 5: Solve for x
    x = 26,313,043.19/5,145.70
  6. Step 6: Final answer
    x = 5,113.60

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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.