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Finding the Fourth Proportional to 10,654.11, 14,696.78 and 9,903.51

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Solution

The fourth proportional to 10,654.11, 14,696.78 and 9,903.51 is: 13,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.11 : 14,696.78 = 9,903.51 : x
  2. Step 2: Convert to fraction form
    10,654.11/14,696.78 = 9,903.51/x
  3. Step 3: Cross multiply
    10,654.11x = 14,696.78 × 9,903.51
  4. Step 4: Simplify right side
    10,654.11x = 145,549,658.18
  5. Step 5: Solve for x
    x = 145,549,658.18/10,654.11
  6. Step 6: Final answer
    x = 13,661.36

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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.