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Finding the Fourth Proportional to 10,859.74, 14,985.62 and 6,144.33

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Solution

The fourth proportional to 10,859.74, 14,985.62 and 6,144.33 is: 8,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.74 : 14,985.62 = 6,144.33 : x
  2. Step 2: Convert to fraction form
    10,859.74/14,985.62 = 6,144.33/x
  3. Step 3: Cross multiply
    10,859.74x = 14,985.62 × 6,144.33
  4. Step 4: Simplify right side
    10,859.74x = 92,076,488.88
  5. Step 5: Solve for x
    x = 92,076,488.88/10,859.74
  6. Step 6: Final answer
    x = 8,478.70

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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.