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Finding the Fourth Proportional to 13,881.83, 19,156.75 and 7,913.30

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Solution

The fourth proportional to 13,881.83, 19,156.75 and 7,913.30 is: 10,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.83 : 19,156.75 = 7,913.30 : x
  2. Step 2: Convert to fraction form
    13,881.83/19,156.75 = 7,913.30/x
  3. Step 3: Cross multiply
    13,881.83x = 19,156.75 × 7,913.30
  4. Step 4: Simplify right side
    13,881.83x = 151,592,994.21
  5. Step 5: Solve for x
    x = 151,592,994.21/13,881.83
  6. Step 6: Final answer
    x = 10,920.25

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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.