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Finding the Fourth Proportional to 14,490.50, 19,997.14 and 7,866.50

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Solution

The fourth proportional to 14,490.50, 19,997.14 and 7,866.50 is: 10,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490.50 : 19,997.14 = 7,866.50 : x
  2. Step 2: Convert to fraction form
    14,490.50/19,997.14 = 7,866.50/x
  3. Step 3: Cross multiply
    14,490.50x = 19,997.14 × 7,866.50
  4. Step 4: Simplify right side
    14,490.50x = 157,307,501.81
  5. Step 5: Solve for x
    x = 157,307,501.81/14,490.50
  6. Step 6: Final answer
    x = 10,855.91

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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.