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Finding the Fourth Proportional to 11,706.04, 17,565.54 and 4,780

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Solution

The fourth proportional to 11,706.04, 17,565.54 and 4,780 is: 7,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.04 : 17,565.54 = 4,780 : x
  2. Step 2: Convert to fraction form
    11,706.04/17,565.54 = 4,780/x
  3. Step 3: Cross multiply
    11,706.04x = 17,565.54 × 4,780
  4. Step 4: Simplify right side
    11,706.04x = 83,963,281.20
  5. Step 5: Solve for x
    x = 83,963,281.20/11,706.04
  6. Step 6: Final answer
    x = 7,172.65

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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.