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Finding the Fourth Proportional to 7,130.84, 9,840.29 and 3,987.63

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Solution

The fourth proportional to 7,130.84, 9,840.29 and 3,987.63 is: 5,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.84 : 9,840.29 = 3,987.63 : x
  2. Step 2: Convert to fraction form
    7,130.84/9,840.29 = 3,987.63/x
  3. Step 3: Cross multiply
    7,130.84x = 9,840.29 × 3,987.63
  4. Step 4: Simplify right side
    7,130.84x = 39,239,415.67
  5. Step 5: Solve for x
    x = 39,239,415.67/7,130.84
  6. Step 6: Final answer
    x = 5,502.78

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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.