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Finding the Fourth Proportional to 10,942, 16,402.88 and 9,980.08

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Solution

The fourth proportional to 10,942, 16,402.88 and 9,980.08 is: 14,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942 : 16,402.88 = 9,980.08 : x
  2. Step 2: Convert to fraction form
    10,942/16,402.88 = 9,980.08/x
  3. Step 3: Cross multiply
    10,942x = 16,402.88 × 9,980.08
  4. Step 4: Simplify right side
    10,942x = 163,702,054.63
  5. Step 5: Solve for x
    x = 163,702,054.63/10,942
  6. Step 6: Final answer
    x = 14,960.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.