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Finding the Fourth Proportional to 10,256.58, 15,371.46 and 9,999

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Solution

The fourth proportional to 10,256.58, 15,371.46 and 9,999 is: 14,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.58 : 15,371.46 = 9,999 : x
  2. Step 2: Convert to fraction form
    10,256.58/15,371.46 = 9,999/x
  3. Step 3: Cross multiply
    10,256.58x = 15,371.46 × 9,999
  4. Step 4: Simplify right side
    10,256.58x = 153,699,228.54
  5. Step 5: Solve for x
    x = 153,699,228.54/10,256.58
  6. Step 6: Final answer
    x = 14,985.43

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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.