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Finding the Fourth Proportional to 10,656.88, 14,707.88 and 7,682.56

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Solution

The fourth proportional to 10,656.88, 14,707.88 and 7,682.56 is: 10,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.88 : 14,707.88 = 7,682.56 : x
  2. Step 2: Convert to fraction form
    10,656.88/14,707.88 = 7,682.56/x
  3. Step 3: Cross multiply
    10,656.88x = 14,707.88 × 7,682.56
  4. Step 4: Simplify right side
    10,656.88x = 112,994,170.57
  5. Step 5: Solve for x
    x = 112,994,170.57/10,656.88
  6. Step 6: Final answer
    x = 10,602.93

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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.