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Finding the Fourth Proportional to 13,746.90, 18,959.02 and 9,264.77

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Solution

The fourth proportional to 13,746.90, 18,959.02 and 9,264.77 is: 12,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.90 : 18,959.02 = 9,264.77 : x
  2. Step 2: Convert to fraction form
    13,746.90/18,959.02 = 9,264.77/x
  3. Step 3: Cross multiply
    13,746.90x = 18,959.02 × 9,264.77
  4. Step 4: Simplify right side
    13,746.90x = 175,650,959.73
  5. Step 5: Solve for x
    x = 175,650,959.73/13,746.90
  6. Step 6: Final answer
    x = 12,777.50

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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.