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Finding the Fourth Proportional to 10,138.71, 13,989.02 and 6,159.59

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Solution

The fourth proportional to 10,138.71, 13,989.02 and 6,159.59 is: 8,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.71 : 13,989.02 = 6,159.59 : x
  2. Step 2: Convert to fraction form
    10,138.71/13,989.02 = 6,159.59/x
  3. Step 3: Cross multiply
    10,138.71x = 13,989.02 × 6,159.59
  4. Step 4: Simplify right side
    10,138.71x = 86,166,573.16
  5. Step 5: Solve for x
    x = 86,166,573.16/10,138.71
  6. Step 6: Final answer
    x = 8,498.77

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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.