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Finding the Fourth Proportional to 19,280, 28,924.08 and 10,964

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Solution

The fourth proportional to 19,280, 28,924.08 and 10,964 is: 16,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,280 : 28,924.08 = 10,964 : x
  2. Step 2: Convert to fraction form
    19,280/28,924.08 = 10,964/x
  3. Step 3: Cross multiply
    19,280x = 28,924.08 × 10,964
  4. Step 4: Simplify right side
    19,280x = 317,123,613.12
  5. Step 5: Solve for x
    x = 317,123,613.12/19,280
  6. Step 6: Final answer
    x = 16,448.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.