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Finding the Fourth Proportional to 7,767.48, 10,719.36 and 4,230.48

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Solution

The fourth proportional to 7,767.48, 10,719.36 and 4,230.48 is: 5,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.48 : 10,719.36 = 4,230.48 : x
  2. Step 2: Convert to fraction form
    7,767.48/10,719.36 = 4,230.48/x
  3. Step 3: Cross multiply
    7,767.48x = 10,719.36 × 4,230.48
  4. Step 4: Simplify right side
    7,767.48x = 45,348,038.09
  5. Step 5: Solve for x
    x = 45,348,038.09/7,767.48
  6. Step 6: Final answer
    x = 5,838.19

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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.