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Finding the Fourth Proportional to 10,068.20, 13,894.74 and 5,592

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Solution

The fourth proportional to 10,068.20, 13,894.74 and 5,592 is: 7,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.20 : 13,894.74 = 5,592 : x
  2. Step 2: Convert to fraction form
    10,068.20/13,894.74 = 5,592/x
  3. Step 3: Cross multiply
    10,068.20x = 13,894.74 × 5,592
  4. Step 4: Simplify right side
    10,068.20x = 77,699,386.08
  5. Step 5: Solve for x
    x = 77,699,386.08/10,068.20
  6. Step 6: Final answer
    x = 7,717.31

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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.