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Finding the Fourth Proportional to 10,777.80, 14,877.16 and 9,108.08

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Solution

The fourth proportional to 10,777.80, 14,877.16 and 9,108.08 is: 12,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.80 : 14,877.16 = 9,108.08 : x
  2. Step 2: Convert to fraction form
    10,777.80/14,877.16 = 9,108.08/x
  3. Step 3: Cross multiply
    10,777.80x = 14,877.16 × 9,108.08
  4. Step 4: Simplify right side
    10,777.80x = 135,502,363.45
  5. Step 5: Solve for x
    x = 135,502,363.45/10,777.80
  6. Step 6: Final answer
    x = 12,572.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.