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Finding the Fourth Proportional to 10,412.13, 14,347.47 and 7,421.61

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Solution

The fourth proportional to 10,412.13, 14,347.47 and 7,421.61 is: 10,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.13 : 14,347.47 = 7,421.61 : x
  2. Step 2: Convert to fraction form
    10,412.13/14,347.47 = 7,421.61/x
  3. Step 3: Cross multiply
    10,412.13x = 14,347.47 × 7,421.61
  4. Step 4: Simplify right side
    10,412.13x = 106,481,326.83
  5. Step 5: Solve for x
    x = 106,481,326.83/10,412.13
  6. Step 6: Final answer
    x = 10,226.66

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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.