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Finding the Fourth Proportional to 12,678.52, 17,501.16 and 11,349.84

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Solution

The fourth proportional to 12,678.52, 17,501.16 and 11,349.84 is: 15,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.52 : 17,501.16 = 11,349.84 : x
  2. Step 2: Convert to fraction form
    12,678.52/17,501.16 = 11,349.84/x
  3. Step 3: Cross multiply
    12,678.52x = 17,501.16 × 11,349.84
  4. Step 4: Simplify right side
    12,678.52x = 198,635,365.81
  5. Step 5: Solve for x
    x = 198,635,365.81/12,678.52
  6. Step 6: Final answer
    x = 15,667.08

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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.