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Finding the Fourth Proportional to 10,659.44, 14,707.78 and 7,681.88

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Solution

The fourth proportional to 10,659.44, 14,707.78 and 7,681.88 is: 10,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.44 : 14,707.78 = 7,681.88 : x
  2. Step 2: Convert to fraction form
    10,659.44/14,707.78 = 7,681.88/x
  3. Step 3: Cross multiply
    10,659.44x = 14,707.78 × 7,681.88
  4. Step 4: Simplify right side
    10,659.44x = 112,983,289.08
  5. Step 5: Solve for x
    x = 112,983,289.08/10,659.44
  6. Step 6: Final answer
    x = 10,599.37

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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.