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Finding the Fourth Proportional to 6,513.84, 8,972.64 and 5,457.60

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Solution

The fourth proportional to 6,513.84, 8,972.64 and 5,457.60 is: 7,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.84 : 8,972.64 = 5,457.60 : x
  2. Step 2: Convert to fraction form
    6,513.84/8,972.64 = 5,457.60/x
  3. Step 3: Cross multiply
    6,513.84x = 8,972.64 × 5,457.60
  4. Step 4: Simplify right side
    6,513.84x = 48,969,080.06
  5. Step 5: Solve for x
    x = 48,969,080.06/6,513.84
  6. Step 6: Final answer
    x = 7,517.70

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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.