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Finding the Fourth Proportional to 10,034.56, 13,855.08 and 9,288.16

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Solution

The fourth proportional to 10,034.56, 13,855.08 and 9,288.16 is: 12,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.56 : 13,855.08 = 9,288.16 : x
  2. Step 2: Convert to fraction form
    10,034.56/13,855.08 = 9,288.16/x
  3. Step 3: Cross multiply
    10,034.56x = 13,855.08 × 9,288.16
  4. Step 4: Simplify right side
    10,034.56x = 128,688,199.85
  5. Step 5: Solve for x
    x = 128,688,199.85/10,034.56
  6. Step 6: Final answer
    x = 12,824.50

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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.