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Finding the Fourth Proportional to 10,095, 13,931.64 and 5,905.68

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Solution

The fourth proportional to 10,095, 13,931.64 and 5,905.68 is: 8,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095 : 13,931.64 = 5,905.68 : x
  2. Step 2: Convert to fraction form
    10,095/13,931.64 = 5,905.68/x
  3. Step 3: Cross multiply
    10,095x = 13,931.64 × 5,905.68
  4. Step 4: Simplify right side
    10,095x = 82,275,807.72
  5. Step 5: Solve for x
    x = 82,275,807.72/10,095
  6. Step 6: Final answer
    x = 8,150.15

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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.