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Finding the Fourth Proportional to 15,894.83, 21,928.80 and 9,178

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Solution

The fourth proportional to 15,894.83, 21,928.80 and 9,178 is: 12,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.83 : 21,928.80 = 9,178 : x
  2. Step 2: Convert to fraction form
    15,894.83/21,928.80 = 9,178/x
  3. Step 3: Cross multiply
    15,894.83x = 21,928.80 × 9,178
  4. Step 4: Simplify right side
    15,894.83x = 201,262,526.40
  5. Step 5: Solve for x
    x = 201,262,526.40/15,894.83
  6. Step 6: Final answer
    x = 12,662.14

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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.