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Finding the Fourth Proportional to 9,985.80, 14,978.70 and 8,689.80

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Solution

The fourth proportional to 9,985.80, 14,978.70 and 8,689.80 is: 13,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.80 : 14,978.70 = 8,689.80 : x
  2. Step 2: Convert to fraction form
    9,985.80/14,978.70 = 8,689.80/x
  3. Step 3: Cross multiply
    9,985.80x = 14,978.70 × 8,689.80
  4. Step 4: Simplify right side
    9,985.80x = 130,161,907.26
  5. Step 5: Solve for x
    x = 130,161,907.26/9,985.80
  6. Step 6: Final answer
    x = 13,034.70

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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.