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Finding the Fourth Proportional to 7,765.91, 10,718.75 and 4,742.06

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Solution

The fourth proportional to 7,765.91, 10,718.75 and 4,742.06 is: 6,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.91 : 10,718.75 = 4,742.06 : x
  2. Step 2: Convert to fraction form
    7,765.91/10,718.75 = 4,742.06/x
  3. Step 3: Cross multiply
    7,765.91x = 10,718.75 × 4,742.06
  4. Step 4: Simplify right side
    7,765.91x = 50,828,931.91
  5. Step 5: Solve for x
    x = 50,828,931.91/7,765.91
  6. Step 6: Final answer
    x = 6,545.14

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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.