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Finding the Fourth Proportional to 13,886.83, 19,143.89 and 9,901.02

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Solution

The fourth proportional to 13,886.83, 19,143.89 and 9,901.02 is: 13,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.83 : 19,143.89 = 9,901.02 : x
  2. Step 2: Convert to fraction form
    13,886.83/19,143.89 = 9,901.02/x
  3. Step 3: Cross multiply
    13,886.83x = 19,143.89 × 9,901.02
  4. Step 4: Simplify right side
    13,886.83x = 189,544,070.57
  5. Step 5: Solve for x
    x = 189,544,070.57/13,886.83
  6. Step 6: Final answer
    x = 13,649.20

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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.