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Finding the Fourth Proportional to 9,700.34, 13,385.43 and 6,512.99

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Solution

The fourth proportional to 9,700.34, 13,385.43 and 6,512.99 is: 8,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.34 : 13,385.43 = 6,512.99 : x
  2. Step 2: Convert to fraction form
    9,700.34/13,385.43 = 6,512.99/x
  3. Step 3: Cross multiply
    9,700.34x = 13,385.43 × 6,512.99
  4. Step 4: Simplify right side
    9,700.34x = 87,179,171.74
  5. Step 5: Solve for x
    x = 87,179,171.74/9,700.34
  6. Step 6: Final answer
    x = 8,987.23

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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.