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Finding the Fourth Proportional to 16,972, 23,421.40 and 10,348

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Solution

The fourth proportional to 16,972, 23,421.40 and 10,348 is: 14,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972 : 23,421.40 = 10,348 : x
  2. Step 2: Convert to fraction form
    16,972/23,421.40 = 10,348/x
  3. Step 3: Cross multiply
    16,972x = 23,421.40 × 10,348
  4. Step 4: Simplify right side
    16,972x = 242,364,647.20
  5. Step 5: Solve for x
    x = 242,364,647.20/16,972
  6. Step 6: Final answer
    x = 14,280.26

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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.