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Finding the Fourth Proportional to 9,737.12, 14,603.65 and 2,810

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Solution

The fourth proportional to 9,737.12, 14,603.65 and 2,810 is: 4,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.12 : 14,603.65 = 2,810 : x
  2. Step 2: Convert to fraction form
    9,737.12/14,603.65 = 2,810/x
  3. Step 3: Cross multiply
    9,737.12x = 14,603.65 × 2,810
  4. Step 4: Simplify right side
    9,737.12x = 41,036,256.50
  5. Step 5: Solve for x
    x = 41,036,256.50/9,737.12
  6. Step 6: Final answer
    x = 4,214.41

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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.