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Finding the Fourth Proportional to 9,642.88, 13,312 and 6,659.84

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Solution

The fourth proportional to 9,642.88, 13,312 and 6,659.84 is: 9,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.88 : 13,312 = 6,659.84 : x
  2. Step 2: Convert to fraction form
    9,642.88/13,312 = 6,659.84/x
  3. Step 3: Cross multiply
    9,642.88x = 13,312 × 6,659.84
  4. Step 4: Simplify right side
    9,642.88x = 88,655,790.08
  5. Step 5: Solve for x
    x = 88,655,790.08/9,642.88
  6. Step 6: Final answer
    x = 9,193.91

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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.