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Finding the Fourth Proportional to 14,175, 19,561.50 and 7,887.78

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Solution

The fourth proportional to 14,175, 19,561.50 and 7,887.78 is: 10,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175 : 19,561.50 = 7,887.78 : x
  2. Step 2: Convert to fraction form
    14,175/19,561.50 = 7,887.78/x
  3. Step 3: Cross multiply
    14,175x = 19,561.50 × 7,887.78
  4. Step 4: Simplify right side
    14,175x = 154,296,808.47
  5. Step 5: Solve for x
    x = 154,296,808.47/14,175
  6. Step 6: Final answer
    x = 10,885.14

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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.