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Finding the Fourth Proportional to 15,840.50, 21,859.89 and 9,216.50

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Solution

The fourth proportional to 15,840.50, 21,859.89 and 9,216.50 is: 12,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.50 : 21,859.89 = 9,216.50 : x
  2. Step 2: Convert to fraction form
    15,840.50/21,859.89 = 9,216.50/x
  3. Step 3: Cross multiply
    15,840.50x = 21,859.89 × 9,216.50
  4. Step 4: Simplify right side
    15,840.50x = 201,471,676.19
  5. Step 5: Solve for x
    x = 201,471,676.19/15,840.50
  6. Step 6: Final answer
    x = 12,718.77

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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.