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Finding the Fourth Proportional to 9,867.12, 14,798.16 and 2,940

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Solution

The fourth proportional to 9,867.12, 14,798.16 and 2,940 is: 4,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.12 : 14,798.16 = 2,940 : x
  2. Step 2: Convert to fraction form
    9,867.12/14,798.16 = 2,940/x
  3. Step 3: Cross multiply
    9,867.12x = 14,798.16 × 2,940
  4. Step 4: Simplify right side
    9,867.12x = 43,506,590.40
  5. Step 5: Solve for x
    x = 43,506,590.40/9,867.12
  6. Step 6: Final answer
    x = 4,409.25

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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.