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Finding the Fourth Proportional to 28,421.01, 42,643.80 and 15,258

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Solution

The fourth proportional to 28,421.01, 42,643.80 and 15,258 is: 22,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,421.01 : 42,643.80 = 15,258 : x
  2. Step 2: Convert to fraction form
    28,421.01/42,643.80 = 15,258/x
  3. Step 3: Cross multiply
    28,421.01x = 42,643.80 × 15,258
  4. Step 4: Simplify right side
    28,421.01x = 650,659,100.40
  5. Step 5: Solve for x
    x = 650,659,100.40/28,421.01
  6. Step 6: Final answer
    x = 22,893.60

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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.