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Finding the Fourth Proportional to 9,937.92, 13,709.04 and 6,159.84

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Solution

The fourth proportional to 9,937.92, 13,709.04 and 6,159.84 is: 8,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.92 : 13,709.04 = 6,159.84 : x
  2. Step 2: Convert to fraction form
    9,937.92/13,709.04 = 6,159.84/x
  3. Step 3: Cross multiply
    9,937.92x = 13,709.04 × 6,159.84
  4. Step 4: Simplify right side
    9,937.92x = 84,445,492.95
  5. Step 5: Solve for x
    x = 84,445,492.95/9,937.92
  6. Step 6: Final answer
    x = 8,497.30

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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.