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Finding the Fourth Proportional to 32,478.40, 48,717.60 and 12,750.40

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Solution

The fourth proportional to 32,478.40, 48,717.60 and 12,750.40 is: 19,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.40 : 48,717.60 = 12,750.40 : x
  2. Step 2: Convert to fraction form
    32,478.40/48,717.60 = 12,750.40/x
  3. Step 3: Cross multiply
    32,478.40x = 48,717.60 × 12,750.40
  4. Step 4: Simplify right side
    32,478.40x = 621,168,887.04
  5. Step 5: Solve for x
    x = 621,168,887.04/32,478.40
  6. Step 6: Final answer
    x = 19,125.60

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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.