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Finding the Fourth Proportional to 9,985.40, 14,966.10 and 6,865.40

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Solution

The fourth proportional to 9,985.40, 14,966.10 and 6,865.40 is: 10,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.40 : 14,966.10 = 6,865.40 : x
  2. Step 2: Convert to fraction form
    9,985.40/14,966.10 = 6,865.40/x
  3. Step 3: Cross multiply
    9,985.40x = 14,966.10 × 6,865.40
  4. Step 4: Simplify right side
    9,985.40x = 102,748,262.94
  5. Step 5: Solve for x
    x = 102,748,262.94/9,985.40
  6. Step 6: Final answer
    x = 10,289.85

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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.