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Finding the Fourth Proportional to 19,376, 29,068.32 and 7,064

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Solution

The fourth proportional to 19,376, 29,068.32 and 7,064 is: 10,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,376 : 29,068.32 = 7,064 : x
  2. Step 2: Convert to fraction form
    19,376/29,068.32 = 7,064/x
  3. Step 3: Cross multiply
    19,376x = 29,068.32 × 7,064
  4. Step 4: Simplify right side
    19,376x = 205,338,612.48
  5. Step 5: Solve for x
    x = 205,338,612.48/19,376
  6. Step 6: Final answer
    x = 10,597.57

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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.