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Finding the Fourth Proportional to 9,777.65, 13,493.05 and 5,301.32

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Solution

The fourth proportional to 9,777.65, 13,493.05 and 5,301.32 is: 7,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.65 : 13,493.05 = 5,301.32 : x
  2. Step 2: Convert to fraction form
    9,777.65/13,493.05 = 5,301.32/x
  3. Step 3: Cross multiply
    9,777.65x = 13,493.05 × 5,301.32
  4. Step 4: Simplify right side
    9,777.65x = 71,530,895.11
  5. Step 5: Solve for x
    x = 71,530,895.11/9,777.65
  6. Step 6: Final answer
    x = 7,315.76

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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.