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Finding the Fourth Proportional to 14,151.55, 19,528.18 and 7,778

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Solution

The fourth proportional to 14,151.55, 19,528.18 and 7,778 is: 10,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.55 : 19,528.18 = 7,778 : x
  2. Step 2: Convert to fraction form
    14,151.55/19,528.18 = 7,778/x
  3. Step 3: Cross multiply
    14,151.55x = 19,528.18 × 7,778
  4. Step 4: Simplify right side
    14,151.55x = 151,890,184.04
  5. Step 5: Solve for x
    x = 151,890,184.04/14,151.55
  6. Step 6: Final answer
    x = 10,733.11

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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.