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Finding the Fourth Proportional to 12,912.40, 17,803.56 and 9,931.60

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Solution

The fourth proportional to 12,912.40, 17,803.56 and 9,931.60 is: 13,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.40 : 17,803.56 = 9,931.60 : x
  2. Step 2: Convert to fraction form
    12,912.40/17,803.56 = 9,931.60/x
  3. Step 3: Cross multiply
    12,912.40x = 17,803.56 × 9,931.60
  4. Step 4: Simplify right side
    12,912.40x = 176,817,836.50
  5. Step 5: Solve for x
    x = 176,817,836.50/12,912.40
  6. Step 6: Final answer
    x = 13,693.65

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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.