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Finding the Fourth Proportional to 9,978.04, 13,755.18 and 6,984.76

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Solution

The fourth proportional to 9,978.04, 13,755.18 and 6,984.76 is: 9,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.04 : 13,755.18 = 6,984.76 : x
  2. Step 2: Convert to fraction form
    9,978.04/13,755.18 = 6,984.76/x
  3. Step 3: Cross multiply
    9,978.04x = 13,755.18 × 6,984.76
  4. Step 4: Simplify right side
    9,978.04x = 96,076,631.06
  5. Step 5: Solve for x
    x = 96,076,631.06/9,978.04
  6. Step 6: Final answer
    x = 9,628.81

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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.