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Finding the Fourth Proportional to 9,930.85, 13,710.99 and 6,158.02

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Solution

The fourth proportional to 9,930.85, 13,710.99 and 6,158.02 is: 8,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.85 : 13,710.99 = 6,158.02 : x
  2. Step 2: Convert to fraction form
    9,930.85/13,710.99 = 6,158.02/x
  3. Step 3: Cross multiply
    9,930.85x = 13,710.99 × 6,158.02
  4. Step 4: Simplify right side
    9,930.85x = 84,432,550.64
  5. Step 5: Solve for x
    x = 84,432,550.64/9,930.85
  6. Step 6: Final answer
    x = 8,502.05

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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.