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Finding the Fourth Proportional to 9,877.43, 14,827.71 and 7,798.84

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Solution

The fourth proportional to 9,877.43, 14,827.71 and 7,798.84 is: 11,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.43 : 14,827.71 = 7,798.84 : x
  2. Step 2: Convert to fraction form
    9,877.43/14,827.71 = 7,798.84/x
  3. Step 3: Cross multiply
    9,877.43x = 14,827.71 × 7,798.84
  4. Step 4: Simplify right side
    9,877.43x = 115,638,937.86
  5. Step 5: Solve for x
    x = 115,638,937.86/9,877.43
  6. Step 6: Final answer
    x = 11,707.39

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1.5x scale

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.