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Finding the Fourth Proportional to 11,178, 15,421.71 and 6,703.20

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Solution

The fourth proportional to 11,178, 15,421.71 and 6,703.20 is: 9,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 15,421.71 = 6,703.20 : x
  2. Step 2: Convert to fraction form
    11,178/15,421.71 = 6,703.20/x
  3. Step 3: Cross multiply
    11,178x = 15,421.71 × 6,703.20
  4. Step 4: Simplify right side
    11,178x = 103,374,806.47
  5. Step 5: Solve for x
    x = 103,374,806.47/11,178
  6. Step 6: Final answer
    x = 9,248.06

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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.