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Finding the Fourth Proportional to 9,783.30, 13,500.74 and 5,306.88

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Solution

The fourth proportional to 9,783.30, 13,500.74 and 5,306.88 is: 7,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.30 : 13,500.74 = 5,306.88 : x
  2. Step 2: Convert to fraction form
    9,783.30/13,500.74 = 5,306.88/x
  3. Step 3: Cross multiply
    9,783.30x = 13,500.74 × 5,306.88
  4. Step 4: Simplify right side
    9,783.30x = 71,646,807.09
  5. Step 5: Solve for x
    x = 71,646,807.09/9,783.30
  6. Step 6: Final answer
    x = 7,323.38

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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.