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Finding the Fourth Proportional to 13,753.34, 18,979.64 and 7,465.71

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Solution

The fourth proportional to 13,753.34, 18,979.64 and 7,465.71 is: 10,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.34 : 18,979.64 = 7,465.71 : x
  2. Step 2: Convert to fraction form
    13,753.34/18,979.64 = 7,465.71/x
  3. Step 3: Cross multiply
    13,753.34x = 18,979.64 × 7,465.71
  4. Step 4: Simplify right side
    13,753.34x = 141,696,506.81
  5. Step 5: Solve for x
    x = 141,696,506.81/13,753.34
  6. Step 6: Final answer
    x = 10,302.70

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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.