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Finding the Fourth Proportional to 10,703.70, 14,769 and 5,987.07

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Solution

The fourth proportional to 10,703.70, 14,769 and 5,987.07 is: 8,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.70 : 14,769 = 5,987.07 : x
  2. Step 2: Convert to fraction form
    10,703.70/14,769 = 5,987.07/x
  3. Step 3: Cross multiply
    10,703.70x = 14,769 × 5,987.07
  4. Step 4: Simplify right side
    10,703.70x = 88,423,036.83
  5. Step 5: Solve for x
    x = 88,423,036.83/10,703.70
  6. Step 6: Final answer
    x = 8,260.98

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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.