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Finding the Fourth Proportional to 26,358, 39,532.50 and 8,827.80

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Solution

The fourth proportional to 26,358, 39,532.50 and 8,827.80 is: 13,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358 : 39,532.50 = 8,827.80 : x
  2. Step 2: Convert to fraction form
    26,358/39,532.50 = 8,827.80/x
  3. Step 3: Cross multiply
    26,358x = 39,532.50 × 8,827.80
  4. Step 4: Simplify right side
    26,358x = 348,985,003.50
  5. Step 5: Solve for x
    x = 348,985,003.50/26,358
  6. Step 6: Final answer
    x = 13,240.19

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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.