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Finding the Fourth Proportional to 10,415.76, 15,642.09 and 9,985.23

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Solution

The fourth proportional to 10,415.76, 15,642.09 and 9,985.23 is: 14,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.76 : 15,642.09 = 9,985.23 : x
  2. Step 2: Convert to fraction form
    10,415.76/15,642.09 = 9,985.23/x
  3. Step 3: Cross multiply
    10,415.76x = 15,642.09 × 9,985.23
  4. Step 4: Simplify right side
    10,415.76x = 156,189,866.33
  5. Step 5: Solve for x
    x = 156,189,866.33/10,415.76
  6. Step 6: Final answer
    x = 14,995.53

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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.