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Finding the Fourth Proportional to 9,674.10, 13,343.94 and 7,681.50

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Solution

The fourth proportional to 9,674.10, 13,343.94 and 7,681.50 is: 10,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.10 : 13,343.94 = 7,681.50 : x
  2. Step 2: Convert to fraction form
    9,674.10/13,343.94 = 7,681.50/x
  3. Step 3: Cross multiply
    9,674.10x = 13,343.94 × 7,681.50
  4. Step 4: Simplify right side
    9,674.10x = 102,501,475.11
  5. Step 5: Solve for x
    x = 102,501,475.11/9,674.10
  6. Step 6: Final answer
    x = 10,595.45

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1.5x scale

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.