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Finding the Fourth Proportional to 7,778.16, 10,728.72 and 4,632

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Solution

The fourth proportional to 7,778.16, 10,728.72 and 4,632 is: 6,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.16 : 10,728.72 = 4,632 : x
  2. Step 2: Convert to fraction form
    7,778.16/10,728.72 = 4,632/x
  3. Step 3: Cross multiply
    7,778.16x = 10,728.72 × 4,632
  4. Step 4: Simplify right side
    7,778.16x = 49,695,431.04
  5. Step 5: Solve for x
    x = 49,695,431.04/7,778.16
  6. Step 6: Final answer
    x = 6,389.10

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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.