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Finding the Fourth Proportional to 26,309, 36,307.50 and 15,131

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Solution

The fourth proportional to 26,309, 36,307.50 and 15,131 is: 20,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,309 : 36,307.50 = 15,131 : x
  2. Step 2: Convert to fraction form
    26,309/36,307.50 = 15,131/x
  3. Step 3: Cross multiply
    26,309x = 36,307.50 × 15,131
  4. Step 4: Simplify right side
    26,309x = 549,368,782.50
  5. Step 5: Solve for x
    x = 549,368,782.50/26,309
  6. Step 6: Final answer
    x = 20,881.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.