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Finding the Fourth Proportional to 11,520, 15,897.60 and 6,552

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Solution

The fourth proportional to 11,520, 15,897.60 and 6,552 is: 9,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 15,897.60 = 6,552 : x
  2. Step 2: Convert to fraction form
    11,520/15,897.60 = 6,552/x
  3. Step 3: Cross multiply
    11,520x = 15,897.60 × 6,552
  4. Step 4: Simplify right side
    11,520x = 104,161,075.20
  5. Step 5: Solve for x
    x = 104,161,075.20/11,520
  6. Step 6: Final answer
    x = 9,041.76

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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.