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Finding the Fourth Proportional to 9,756.77, 14,635.80 and 3,430.88

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Solution

The fourth proportional to 9,756.77, 14,635.80 and 3,430.88 is: 5,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.77 : 14,635.80 = 3,430.88 : x
  2. Step 2: Convert to fraction form
    9,756.77/14,635.80 = 3,430.88/x
  3. Step 3: Cross multiply
    9,756.77x = 14,635.80 × 3,430.88
  4. Step 4: Simplify right side
    9,756.77x = 50,213,710.09
  5. Step 5: Solve for x
    x = 50,213,710.09/9,756.77
  6. Step 6: Final answer
    x = 5,146.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.