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Finding the Fourth Proportional to 9,866, 14,803.59 and 4,318.61

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Solution

The fourth proportional to 9,866, 14,803.59 and 4,318.61 is: 6,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866 : 14,803.59 = 4,318.61 : x
  2. Step 2: Convert to fraction form
    9,866/14,803.59 = 4,318.61/x
  3. Step 3: Cross multiply
    9,866x = 14,803.59 × 4,318.61
  4. Step 4: Simplify right side
    9,866x = 63,930,931.81
  5. Step 5: Solve for x
    x = 63,930,931.81/9,866
  6. Step 6: Final answer
    x = 6,479.92

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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.