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Finding the Fourth Proportional to 38,730.40, 53,424.72 and 23,800.48

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Solution

The fourth proportional to 38,730.40, 53,424.72 and 23,800.48 is: 32,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,730.40 : 53,424.72 = 23,800.48 : x
  2. Step 2: Convert to fraction form
    38,730.40/53,424.72 = 23,800.48/x
  3. Step 3: Cross multiply
    38,730.40x = 53,424.72 × 23,800.48
  4. Step 4: Simplify right side
    38,730.40x = 1,271,533,979.87
  5. Step 5: Solve for x
    x = 1,271,533,979.87/38,730.40
  6. Step 6: Final answer
    x = 32,830.39

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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.