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Finding the Fourth Proportional to 10,497.60, 15,746.40 and 7,171.20

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Solution

The fourth proportional to 10,497.60, 15,746.40 and 7,171.20 is: 10,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.60 : 15,746.40 = 7,171.20 : x
  2. Step 2: Convert to fraction form
    10,497.60/15,746.40 = 7,171.20/x
  3. Step 3: Cross multiply
    10,497.60x = 15,746.40 × 7,171.20
  4. Step 4: Simplify right side
    10,497.60x = 112,920,583.68
  5. Step 5: Solve for x
    x = 112,920,583.68/10,497.60
  6. Step 6: Final answer
    x = 10,756.80

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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.