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Finding the Fourth Proportional to 10,352, 14,285.76 and 5,636

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Solution

The fourth proportional to 10,352, 14,285.76 and 5,636 is: 7,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352 : 14,285.76 = 5,636 : x
  2. Step 2: Convert to fraction form
    10,352/14,285.76 = 5,636/x
  3. Step 3: Cross multiply
    10,352x = 14,285.76 × 5,636
  4. Step 4: Simplify right side
    10,352x = 80,514,543.36
  5. Step 5: Solve for x
    x = 80,514,543.36/10,352
  6. Step 6: Final answer
    x = 7,777.68

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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.