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Finding the Fourth Proportional to 10,615.40, 14,649.99 and 5,899.98

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Solution

The fourth proportional to 10,615.40, 14,649.99 and 5,899.98 is: 8,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.40 : 14,649.99 = 5,899.98 : x
  2. Step 2: Convert to fraction form
    10,615.40/14,649.99 = 5,899.98/x
  3. Step 3: Cross multiply
    10,615.40x = 14,649.99 × 5,899.98
  4. Step 4: Simplify right side
    10,615.40x = 86,434,648.00
  5. Step 5: Solve for x
    x = 86,434,648.00/10,615.40
  6. Step 6: Final answer
    x = 8,142.38

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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.