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Finding the Fourth Proportional to 7,768, 11,652.08 and 4,312.52

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Solution

The fourth proportional to 7,768, 11,652.08 and 4,312.52 is: 6,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768 : 11,652.08 = 4,312.52 : x
  2. Step 2: Convert to fraction form
    7,768/11,652.08 = 4,312.52/x
  3. Step 3: Cross multiply
    7,768x = 11,652.08 × 4,312.52
  4. Step 4: Simplify right side
    7,768x = 50,249,828.04
  5. Step 5: Solve for x
    x = 50,249,828.04/7,768
  6. Step 6: Final answer
    x = 6,468.82

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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.