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Finding the Fourth Proportional to 11,705.04, 17,564.04 and 4,779

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Solution

The fourth proportional to 11,705.04, 17,564.04 and 4,779 is: 7,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.04 : 17,564.04 = 4,779 : x
  2. Step 2: Convert to fraction form
    11,705.04/17,564.04 = 4,779/x
  3. Step 3: Cross multiply
    11,705.04x = 17,564.04 × 4,779
  4. Step 4: Simplify right side
    11,705.04x = 83,938,547.16
  5. Step 5: Solve for x
    x = 83,938,547.16/11,705.04
  6. Step 6: Final answer
    x = 7,171.15

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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.