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Finding the Fourth Proportional to 35,691.03, 53,536.95 and 12,312

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Solution

The fourth proportional to 35,691.03, 53,536.95 and 12,312 is: 18,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,691.03 : 53,536.95 = 12,312 : x
  2. Step 2: Convert to fraction form
    35,691.03/53,536.95 = 12,312/x
  3. Step 3: Cross multiply
    35,691.03x = 53,536.95 × 12,312
  4. Step 4: Simplify right side
    35,691.03x = 659,146,928.40
  5. Step 5: Solve for x
    x = 659,146,928.40/35,691.03
  6. Step 6: Final answer
    x = 18,468.14

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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.