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Finding the Fourth Proportional to 7,937.16, 10,930.18 and 7,430.05

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Solution

The fourth proportional to 7,937.16, 10,930.18 and 7,430.05 is: 10,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.16 : 10,930.18 = 7,430.05 : x
  2. Step 2: Convert to fraction form
    7,937.16/10,930.18 = 7,430.05/x
  3. Step 3: Cross multiply
    7,937.16x = 10,930.18 × 7,430.05
  4. Step 4: Simplify right side
    7,937.16x = 81,211,783.91
  5. Step 5: Solve for x
    x = 81,211,783.91/7,937.16
  6. Step 6: Final answer
    x = 10,231.84

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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.