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Finding the Fourth Proportional to 9,802.50, 14,703.75 and 2,877

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Solution

The fourth proportional to 9,802.50, 14,703.75 and 2,877 is: 4,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.50 : 14,703.75 = 2,877 : x
  2. Step 2: Convert to fraction form
    9,802.50/14,703.75 = 2,877/x
  3. Step 3: Cross multiply
    9,802.50x = 14,703.75 × 2,877
  4. Step 4: Simplify right side
    9,802.50x = 42,302,688.75
  5. Step 5: Solve for x
    x = 42,302,688.75/9,802.50
  6. Step 6: Final answer
    x = 4,315.50

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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.