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Finding the Fourth Proportional to 28,358, 42,537.36 and 9,890

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Solution

The fourth proportional to 28,358, 42,537.36 and 9,890 is: 14,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,358 : 42,537.36 = 9,890 : x
  2. Step 2: Convert to fraction form
    28,358/42,537.36 = 9,890/x
  3. Step 3: Cross multiply
    28,358x = 42,537.36 × 9,890
  4. Step 4: Simplify right side
    28,358x = 420,694,490.40
  5. Step 5: Solve for x
    x = 420,694,490.40/28,358
  6. Step 6: Final answer
    x = 14,835.13

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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.