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Finding the Fourth Proportional to 21,312, 31,979.52 and 10,368

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Solution

The fourth proportional to 21,312, 31,979.52 and 10,368 is: 15,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312 : 31,979.52 = 10,368 : x
  2. Step 2: Convert to fraction form
    21,312/31,979.52 = 10,368/x
  3. Step 3: Cross multiply
    21,312x = 31,979.52 × 10,368
  4. Step 4: Simplify right side
    21,312x = 331,563,663.36
  5. Step 5: Solve for x
    x = 331,563,663.36/21,312
  6. Step 6: Final answer
    x = 15,557.60

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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.