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Finding the Fourth Proportional to 6,457.84, 8,917.08 and 5,263

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Solution

The fourth proportional to 6,457.84, 8,917.08 and 5,263 is: 7,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.84 : 8,917.08 = 5,263 : x
  2. Step 2: Convert to fraction form
    6,457.84/8,917.08 = 5,263/x
  3. Step 3: Cross multiply
    6,457.84x = 8,917.08 × 5,263
  4. Step 4: Simplify right side
    6,457.84x = 46,930,592.04
  5. Step 5: Solve for x
    x = 46,930,592.04/6,457.84
  6. Step 6: Final answer
    x = 7,267.23

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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.