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Finding the Fourth Proportional to 7,752.81, 11,630.43 and 3,070.47

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Solution

The fourth proportional to 7,752.81, 11,630.43 and 3,070.47 is: 4,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.81 : 11,630.43 = 3,070.47 : x
  2. Step 2: Convert to fraction form
    7,752.81/11,630.43 = 3,070.47/x
  3. Step 3: Cross multiply
    7,752.81x = 11,630.43 × 3,070.47
  4. Step 4: Simplify right side
    7,752.81x = 35,710,886.40
  5. Step 5: Solve for x
    x = 35,710,886.40/7,752.81
  6. Step 6: Final answer
    x = 4,606.19

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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.