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Finding the Fourth Proportional to 9,823.70, 14,730 and 8,656.34

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Solution

The fourth proportional to 9,823.70, 14,730 and 8,656.34 is: 12,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.70 : 14,730 = 8,656.34 : x
  2. Step 2: Convert to fraction form
    9,823.70/14,730 = 8,656.34/x
  3. Step 3: Cross multiply
    9,823.70x = 14,730 × 8,656.34
  4. Step 4: Simplify right side
    9,823.70x = 127,507,888.20
  5. Step 5: Solve for x
    x = 127,507,888.20/9,823.70
  6. Step 6: Final answer
    x = 12,979.62

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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.