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Finding the Fourth Proportional to 16,931, 23,364.78 and 10,307

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Solution

The fourth proportional to 16,931, 23,364.78 and 10,307 is: 14,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,931 : 23,364.78 = 10,307 : x
  2. Step 2: Convert to fraction form
    16,931/23,364.78 = 10,307/x
  3. Step 3: Cross multiply
    16,931x = 23,364.78 × 10,307
  4. Step 4: Simplify right side
    16,931x = 240,820,787.46
  5. Step 5: Solve for x
    x = 240,820,787.46/16,931
  6. Step 6: Final answer
    x = 14,223.66

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1.5x scale

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.