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Finding the Fourth Proportional to 13,746.60, 18,970.36 and 7,458.98

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Solution

The fourth proportional to 13,746.60, 18,970.36 and 7,458.98 is: 10,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.60 : 18,970.36 = 7,458.98 : x
  2. Step 2: Convert to fraction form
    13,746.60/18,970.36 = 7,458.98/x
  3. Step 3: Cross multiply
    13,746.60x = 18,970.36 × 7,458.98
  4. Step 4: Simplify right side
    13,746.60x = 141,499,535.83
  5. Step 5: Solve for x
    x = 141,499,535.83/13,746.60
  6. Step 6: Final answer
    x = 10,293.42

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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.