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Finding the Fourth Proportional to 13,746.71, 18,970.68 and 7,459.09

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Solution

The fourth proportional to 13,746.71, 18,970.68 and 7,459.09 is: 10,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.71 : 18,970.68 = 7,459.09 : x
  2. Step 2: Convert to fraction form
    13,746.71/18,970.68 = 7,459.09/x
  3. Step 3: Cross multiply
    13,746.71x = 18,970.68 × 7,459.09
  4. Step 4: Simplify right side
    13,746.71x = 141,503,990.03
  5. Step 5: Solve for x
    x = 141,503,990.03/13,746.71
  6. Step 6: Final answer
    x = 10,293.66

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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.