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Finding the Fourth Proportional to 8,973.98, 12,387.44 and 7,709.98

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Solution

The fourth proportional to 8,973.98, 12,387.44 and 7,709.98 is: 10,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.98 : 12,387.44 = 7,709.98 : x
  2. Step 2: Convert to fraction form
    8,973.98/12,387.44 = 7,709.98/x
  3. Step 3: Cross multiply
    8,973.98x = 12,387.44 × 7,709.98
  4. Step 4: Simplify right side
    8,973.98x = 95,506,814.16
  5. Step 5: Solve for x
    x = 95,506,814.16/8,973.98
  6. Step 6: Final answer
    x = 10,642.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.