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Finding the Fourth Proportional to 10,246.58, 15,356.46 and 9,989

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Solution

The fourth proportional to 10,246.58, 15,356.46 and 9,989 is: 14,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.58 : 15,356.46 = 9,989 : x
  2. Step 2: Convert to fraction form
    10,246.58/15,356.46 = 9,989/x
  3. Step 3: Cross multiply
    10,246.58x = 15,356.46 × 9,989
  4. Step 4: Simplify right side
    10,246.58x = 153,395,678.94
  5. Step 5: Solve for x
    x = 153,395,678.94/10,246.58
  6. Step 6: Final answer
    x = 14,970.43

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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.