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Finding the Fourth Proportional to 9,065, 12,509.72 and 5,290.76

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Solution

The fourth proportional to 9,065, 12,509.72 and 5,290.76 is: 7,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065 : 12,509.72 = 5,290.76 : x
  2. Step 2: Convert to fraction form
    9,065/12,509.72 = 5,290.76/x
  3. Step 3: Cross multiply
    9,065x = 12,509.72 × 5,290.76
  4. Step 4: Simplify right side
    9,065x = 66,185,926.19
  5. Step 5: Solve for x
    x = 66,185,926.19/9,065
  6. Step 6: Final answer
    x = 7,301.26

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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.