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Finding the Fourth Proportional to 9,479.12, 13,074 and 5,702

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Solution

The fourth proportional to 9,479.12, 13,074 and 5,702 is: 7,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,479.12 : 13,074 = 5,702 : x
  2. Step 2: Convert to fraction form
    9,479.12/13,074 = 5,702/x
  3. Step 3: Cross multiply
    9,479.12x = 13,074 × 5,702
  4. Step 4: Simplify right side
    9,479.12x = 74,547,948
  5. Step 5: Solve for x
    x = 74,547,948/9,479.12
  6. Step 6: Final answer
    x = 7,864.44

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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.