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Finding the Fourth Proportional to 12,484.35, 18,731.93 and 9,706.86

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Solution

The fourth proportional to 12,484.35, 18,731.93 and 9,706.86 is: 14,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.35 : 18,731.93 = 9,706.86 : x
  2. Step 2: Convert to fraction form
    12,484.35/18,731.93 = 9,706.86/x
  3. Step 3: Cross multiply
    12,484.35x = 18,731.93 × 9,706.86
  4. Step 4: Simplify right side
    12,484.35x = 181,828,173.51
  5. Step 5: Solve for x
    x = 181,828,173.51/12,484.35
  6. Step 6: Final answer
    x = 14,564.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.