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Finding the Fourth Proportional to 9,811.35, 14,718.65 and 4,880.07

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Solution

The fourth proportional to 9,811.35, 14,718.65 and 4,880.07 is: 7,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.35 : 14,718.65 = 4,880.07 : x
  2. Step 2: Convert to fraction form
    9,811.35/14,718.65 = 4,880.07/x
  3. Step 3: Cross multiply
    9,811.35x = 14,718.65 × 4,880.07
  4. Step 4: Simplify right side
    9,811.35x = 71,828,017.91
  5. Step 5: Solve for x
    x = 71,828,017.91/9,811.35
  6. Step 6: Final answer
    x = 7,320.91

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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.