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Finding the Fourth Proportional to 12,315.60, 16,996.08 and 6,938.40

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Solution

The fourth proportional to 12,315.60, 16,996.08 and 6,938.40 is: 9,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.60 : 16,996.08 = 6,938.40 : x
  2. Step 2: Convert to fraction form
    12,315.60/16,996.08 = 6,938.40/x
  3. Step 3: Cross multiply
    12,315.60x = 16,996.08 × 6,938.40
  4. Step 4: Simplify right side
    12,315.60x = 117,925,601.47
  5. Step 5: Solve for x
    x = 117,925,601.47/12,315.60
  6. Step 6: Final answer
    x = 9,575.30

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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.