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Finding the Fourth Proportional to 11,561.76, 15,957 and 6,528

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Solution

The fourth proportional to 11,561.76, 15,957 and 6,528 is: 9,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.76 : 15,957 = 6,528 : x
  2. Step 2: Convert to fraction form
    11,561.76/15,957 = 6,528/x
  3. Step 3: Cross multiply
    11,561.76x = 15,957 × 6,528
  4. Step 4: Simplify right side
    11,561.76x = 104,167,296
  5. Step 5: Solve for x
    x = 104,167,296/11,561.76
  6. Step 6: Final answer
    x = 9,009.64

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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.