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Finding the Fourth Proportional to 10,238.64, 15,340.64 and 7,302.16

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Solution

The fourth proportional to 10,238.64, 15,340.64 and 7,302.16 is: 10,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.64 : 15,340.64 = 7,302.16 : x
  2. Step 2: Convert to fraction form
    10,238.64/15,340.64 = 7,302.16/x
  3. Step 3: Cross multiply
    10,238.64x = 15,340.64 × 7,302.16
  4. Step 4: Simplify right side
    10,238.64x = 112,019,807.78
  5. Step 5: Solve for x
    x = 112,019,807.78/10,238.64
  6. Step 6: Final answer
    x = 10,940.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.