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Finding the Fourth Proportional to 12,720.85, 19,075.34 and 7,457.47

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Solution

The fourth proportional to 12,720.85, 19,075.34 and 7,457.47 is: 11,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.85 : 19,075.34 = 7,457.47 : x
  2. Step 2: Convert to fraction form
    12,720.85/19,075.34 = 7,457.47/x
  3. Step 3: Cross multiply
    12,720.85x = 19,075.34 × 7,457.47
  4. Step 4: Simplify right side
    12,720.85x = 142,253,699.06
  5. Step 5: Solve for x
    x = 142,253,699.06/12,720.85
  6. Step 6: Final answer
    x = 11,182.72

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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.