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Finding the Fourth Proportional to 7,389.16, 11,048.10 and 7,214.20

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Solution

The fourth proportional to 7,389.16, 11,048.10 and 7,214.20 is: 10,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.16 : 11,048.10 = 7,214.20 : x
  2. Step 2: Convert to fraction form
    7,389.16/11,048.10 = 7,214.20/x
  3. Step 3: Cross multiply
    7,389.16x = 11,048.10 × 7,214.20
  4. Step 4: Simplify right side
    7,389.16x = 79,703,203.02
  5. Step 5: Solve for x
    x = 79,703,203.02/7,389.16
  6. Step 6: Final answer
    x = 10,786.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.