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Finding the Fourth Proportional to 14,246.48, 19,658.40 and 7,958

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Solution

The fourth proportional to 14,246.48, 19,658.40 and 7,958 is: 10,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.48 : 19,658.40 = 7,958 : x
  2. Step 2: Convert to fraction form
    14,246.48/19,658.40 = 7,958/x
  3. Step 3: Cross multiply
    14,246.48x = 19,658.40 × 7,958
  4. Step 4: Simplify right side
    14,246.48x = 156,441,547.20
  5. Step 5: Solve for x
    x = 156,441,547.20/14,246.48
  6. Step 6: Final answer
    x = 10,981.07

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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.