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Finding the Fourth Proportional to 26,487, 39,730.50 and 9,827.73

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Solution

The fourth proportional to 26,487, 39,730.50 and 9,827.73 is: 14,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,487 : 39,730.50 = 9,827.73 : x
  2. Step 2: Convert to fraction form
    26,487/39,730.50 = 9,827.73/x
  3. Step 3: Cross multiply
    26,487x = 39,730.50 × 9,827.73
  4. Step 4: Simplify right side
    26,487x = 390,460,626.77
  5. Step 5: Solve for x
    x = 390,460,626.77/26,487
  6. Step 6: Final answer
    x = 14,741.60

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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.