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Finding the Fourth Proportional to 12,915.14, 19,346.91 and 9,916.58

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Solution

The fourth proportional to 12,915.14, 19,346.91 and 9,916.58 is: 14,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.14 : 19,346.91 = 9,916.58 : x
  2. Step 2: Convert to fraction form
    12,915.14/19,346.91 = 9,916.58/x
  3. Step 3: Cross multiply
    12,915.14x = 19,346.91 × 9,916.58
  4. Step 4: Simplify right side
    12,915.14x = 191,855,180.77
  5. Step 5: Solve for x
    x = 191,855,180.77/12,915.14
  6. Step 6: Final answer
    x = 14,855.06

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1.5x scale

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.