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Finding the Fourth Proportional to 4,728.34, 6,510.63 and 4,189.51

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Solution

The fourth proportional to 4,728.34, 6,510.63 and 4,189.51 is: 5,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.34 : 6,510.63 = 4,189.51 : x
  2. Step 2: Convert to fraction form
    4,728.34/6,510.63 = 4,189.51/x
  3. Step 3: Cross multiply
    4,728.34x = 6,510.63 × 4,189.51
  4. Step 4: Simplify right side
    4,728.34x = 27,276,349.49
  5. Step 5: Solve for x
    x = 27,276,349.49/4,728.34
  6. Step 6: Final answer
    x = 5,768.69

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Half scale
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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.