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Finding the Fourth Proportional to 9,349, 12,901.68 and 5,157.28

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Solution

The fourth proportional to 9,349, 12,901.68 and 5,157.28 is: 7,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349 : 12,901.68 = 5,157.28 : x
  2. Step 2: Convert to fraction form
    9,349/12,901.68 = 5,157.28/x
  3. Step 3: Cross multiply
    9,349x = 12,901.68 × 5,157.28
  4. Step 4: Simplify right side
    9,349x = 66,537,576.23
  5. Step 5: Solve for x
    x = 66,537,576.23/9,349
  6. Step 6: Final answer
    x = 7,117.08

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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.