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Finding the Fourth Proportional to 9,699.62, 14,547.80 and 2,772.50

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Solution

The fourth proportional to 9,699.62, 14,547.80 and 2,772.50 is: 4,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.62 : 14,547.80 = 2,772.50 : x
  2. Step 2: Convert to fraction form
    9,699.62/14,547.80 = 2,772.50/x
  3. Step 3: Cross multiply
    9,699.62x = 14,547.80 × 2,772.50
  4. Step 4: Simplify right side
    9,699.62x = 40,333,775.50
  5. Step 5: Solve for x
    x = 40,333,775.50/9,699.62
  6. Step 6: Final answer
    x = 4,158.28

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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.