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Finding the Fourth Proportional to 4,679.61, 6,457.64 and 2,689.71

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Solution

The fourth proportional to 4,679.61, 6,457.64 and 2,689.71 is: 3,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.61 : 6,457.64 = 2,689.71 : x
  2. Step 2: Convert to fraction form
    4,679.61/6,457.64 = 2,689.71/x
  3. Step 3: Cross multiply
    4,679.61x = 6,457.64 × 2,689.71
  4. Step 4: Simplify right side
    4,679.61x = 17,369,165.44
  5. Step 5: Solve for x
    x = 17,369,165.44/4,679.61
  6. Step 6: Final answer
    x = 3,711.67

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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.