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Finding the Fourth Proportional to 7,643.39, 11,465.08 and 5,045.72

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Solution

The fourth proportional to 7,643.39, 11,465.08 and 5,045.72 is: 7,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.39 : 11,465.08 = 5,045.72 : x
  2. Step 2: Convert to fraction form
    7,643.39/11,465.08 = 5,045.72/x
  3. Step 3: Cross multiply
    7,643.39x = 11,465.08 × 5,045.72
  4. Step 4: Simplify right side
    7,643.39x = 57,849,526.13
  5. Step 5: Solve for x
    x = 57,849,526.13/7,643.39
  6. Step 6: Final answer
    x = 7,568.57

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1.5x scale

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.