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Finding the Fourth Proportional to 12,516, 17,275.93 and 7,214.35

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Solution

The fourth proportional to 12,516, 17,275.93 and 7,214.35 is: 9,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516 : 17,275.93 = 7,214.35 : x
  2. Step 2: Convert to fraction form
    12,516/17,275.93 = 7,214.35/x
  3. Step 3: Cross multiply
    12,516x = 17,275.93 × 7,214.35
  4. Step 4: Simplify right side
    12,516x = 124,634,605.60
  5. Step 5: Solve for x
    x = 124,634,605.60/12,516
  6. Step 6: Final answer
    x = 9,958.02

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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.