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Finding the Fourth Proportional to 5,430.68, 8,145.85 and 1,733.14

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Solution

The fourth proportional to 5,430.68, 8,145.85 and 1,733.14 is: 2,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.68 : 8,145.85 = 1,733.14 : x
  2. Step 2: Convert to fraction form
    5,430.68/8,145.85 = 1,733.14/x
  3. Step 3: Cross multiply
    5,430.68x = 8,145.85 × 1,733.14
  4. Step 4: Simplify right side
    5,430.68x = 14,117,849.07
  5. Step 5: Solve for x
    x = 14,117,849.07/5,430.68
  6. Step 6: Final answer
    x = 2,599.65

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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.