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Finding the Fourth Proportional to 14,242.99, 19,655.22 and 7,870

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Solution

The fourth proportional to 14,242.99, 19,655.22 and 7,870 is: 10,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.99 : 19,655.22 = 7,870 : x
  2. Step 2: Convert to fraction form
    14,242.99/19,655.22 = 7,870/x
  3. Step 3: Cross multiply
    14,242.99x = 19,655.22 × 7,870
  4. Step 4: Simplify right side
    14,242.99x = 154,686,581.40
  5. Step 5: Solve for x
    x = 154,686,581.40/14,242.99
  6. Step 6: Final answer
    x = 10,860.54

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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.