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Finding the Fourth Proportional to 5,457.47, 7,515.83 and 4,965.39

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Solution

The fourth proportional to 5,457.47, 7,515.83 and 4,965.39 is: 6,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.47 : 7,515.83 = 4,965.39 : x
  2. Step 2: Convert to fraction form
    5,457.47/7,515.83 = 4,965.39/x
  3. Step 3: Cross multiply
    5,457.47x = 7,515.83 × 4,965.39
  4. Step 4: Simplify right side
    5,457.47x = 37,319,002.30
  5. Step 5: Solve for x
    x = 37,319,002.30/5,457.47
  6. Step 6: Final answer
    x = 6,838.16

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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.