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Finding the Fourth Proportional to 7,827, 10,808.28 and 5,037.36

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Solution

The fourth proportional to 7,827, 10,808.28 and 5,037.36 is: 6,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 10,808.28 = 5,037.36 : x
  2. Step 2: Convert to fraction form
    7,827/10,808.28 = 5,037.36/x
  3. Step 3: Cross multiply
    7,827x = 10,808.28 × 5,037.36
  4. Step 4: Simplify right side
    7,827x = 54,445,197.34
  5. Step 5: Solve for x
    x = 54,445,197.34/7,827
  6. Step 6: Final answer
    x = 6,956.07

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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.