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Finding the Fourth Proportional to 6,900.78, 10,347.50 and 5,056.40

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Solution

The fourth proportional to 6,900.78, 10,347.50 and 5,056.40 is: 7,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.78 : 10,347.50 = 5,056.40 : x
  2. Step 2: Convert to fraction form
    6,900.78/10,347.50 = 5,056.40/x
  3. Step 3: Cross multiply
    6,900.78x = 10,347.50 × 5,056.40
  4. Step 4: Simplify right side
    6,900.78x = 52,321,099.00
  5. Step 5: Solve for x
    x = 52,321,099.00/6,900.78
  6. Step 6: Final answer
    x = 7,581.91

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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.