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Finding the Fourth Proportional to 9,687.65, 13,365.52 and 6,332.40

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Solution

The fourth proportional to 9,687.65, 13,365.52 and 6,332.40 is: 8,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.65 : 13,365.52 = 6,332.40 : x
  2. Step 2: Convert to fraction form
    9,687.65/13,365.52 = 6,332.40/x
  3. Step 3: Cross multiply
    9,687.65x = 13,365.52 × 6,332.40
  4. Step 4: Simplify right side
    9,687.65x = 84,635,803.02
  5. Step 5: Solve for x
    x = 84,635,803.02/9,687.65
  6. Step 6: Final answer
    x = 8,736.46

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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.