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Finding the Fourth Proportional to 9,642.66, 14,430.05 and 8,341.71

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Solution

The fourth proportional to 9,642.66, 14,430.05 and 8,341.71 is: 12,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.66 : 14,430.05 = 8,341.71 : x
  2. Step 2: Convert to fraction form
    9,642.66/14,430.05 = 8,341.71/x
  3. Step 3: Cross multiply
    9,642.66x = 14,430.05 × 8,341.71
  4. Step 4: Simplify right side
    9,642.66x = 120,371,292.39
  5. Step 5: Solve for x
    x = 120,371,292.39/9,642.66
  6. Step 6: Final answer
    x = 12,483.20

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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.