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Finding the Fourth Proportional to 10,000.64, 13,784.32 and 7,512.32

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Solution

The fourth proportional to 10,000.64, 13,784.32 and 7,512.32 is: 10,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.64 : 13,784.32 = 7,512.32 : x
  2. Step 2: Convert to fraction form
    10,000.64/13,784.32 = 7,512.32/x
  3. Step 3: Cross multiply
    10,000.64x = 13,784.32 × 7,512.32
  4. Step 4: Simplify right side
    10,000.64x = 103,552,222.82
  5. Step 5: Solve for x
    x = 103,552,222.82/10,000.64
  6. Step 6: Final answer
    x = 10,354.56

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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.