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Finding the Fourth Proportional to 28,602, 42,915.96 and 13,808.16

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Solution

The fourth proportional to 28,602, 42,915.96 and 13,808.16 is: 20,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,602 : 42,915.96 = 13,808.16 : x
  2. Step 2: Convert to fraction form
    28,602/42,915.96 = 13,808.16/x
  3. Step 3: Cross multiply
    28,602x = 42,915.96 × 13,808.16
  4. Step 4: Simplify right side
    28,602x = 592,590,442.23
  5. Step 5: Solve for x
    x = 592,590,442.23/28,602
  6. Step 6: Final answer
    x = 20,718.50

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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.