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Finding the Fourth Proportional to 13,785.76, 19,023.36 and 7,498

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Solution

The fourth proportional to 13,785.76, 19,023.36 and 7,498 is: 10,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.76 : 19,023.36 = 7,498 : x
  2. Step 2: Convert to fraction form
    13,785.76/19,023.36 = 7,498/x
  3. Step 3: Cross multiply
    13,785.76x = 19,023.36 × 7,498
  4. Step 4: Simplify right side
    13,785.76x = 142,637,153.28
  5. Step 5: Solve for x
    x = 142,637,153.28/13,785.76
  6. Step 6: Final answer
    x = 10,346.70

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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.