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Finding the Fourth Proportional to 10,000.64, 13,803.55 and 5,752.16

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Solution

The fourth proportional to 10,000.64, 13,803.55 and 5,752.16 is: 7,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.64 : 13,803.55 = 5,752.16 : x
  2. Step 2: Convert to fraction form
    10,000.64/13,803.55 = 5,752.16/x
  3. Step 3: Cross multiply
    10,000.64x = 13,803.55 × 5,752.16
  4. Step 4: Simplify right side
    10,000.64x = 79,400,228.17
  5. Step 5: Solve for x
    x = 79,400,228.17/10,000.64
  6. Step 6: Final answer
    x = 7,939.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.