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Finding the Fourth Proportional to 17,624, 26,436.16 and 5,312

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Solution

The fourth proportional to 17,624, 26,436.16 and 5,312 is: 7,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624 : 26,436.16 = 5,312 : x
  2. Step 2: Convert to fraction form
    17,624/26,436.16 = 5,312/x
  3. Step 3: Cross multiply
    17,624x = 26,436.16 × 5,312
  4. Step 4: Simplify right side
    17,624x = 140,428,881.92
  5. Step 5: Solve for x
    x = 140,428,881.92/17,624
  6. Step 6: Final answer
    x = 7,968.05

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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.