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Finding the Fourth Proportional to 10,412.51, 14,348.00 and 7,421.99

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Solution

The fourth proportional to 10,412.51, 14,348.00 and 7,421.99 is: 10,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.51 : 14,348.00 = 7,421.99 : x
  2. Step 2: Convert to fraction form
    10,412.51/14,348.00 = 7,421.99/x
  3. Step 3: Cross multiply
    10,412.51x = 14,348.00 × 7,421.99
  4. Step 4: Simplify right side
    10,412.51x = 106,490,603.67
  5. Step 5: Solve for x
    x = 106,490,603.67/10,412.51
  6. Step 6: Final answer
    x = 10,227.18

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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.