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Finding the Fourth Proportional to 15,970.40, 23,955.60 and 8,097.20

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Solution

The fourth proportional to 15,970.40, 23,955.60 and 8,097.20 is: 12,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.40 : 23,955.60 = 8,097.20 : x
  2. Step 2: Convert to fraction form
    15,970.40/23,955.60 = 8,097.20/x
  3. Step 3: Cross multiply
    15,970.40x = 23,955.60 × 8,097.20
  4. Step 4: Simplify right side
    15,970.40x = 193,973,284.32
  5. Step 5: Solve for x
    x = 193,973,284.32/15,970.40
  6. Step 6: Final answer
    x = 12,145.80

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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.