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Finding the Fourth Proportional to 30,142.04, 45,207.90 and 7,955.66

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Solution

The fourth proportional to 30,142.04, 45,207.90 and 7,955.66 is: 11,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.04 : 45,207.90 = 7,955.66 : x
  2. Step 2: Convert to fraction form
    30,142.04/45,207.90 = 7,955.66/x
  3. Step 3: Cross multiply
    30,142.04x = 45,207.90 × 7,955.66
  4. Step 4: Simplify right side
    30,142.04x = 359,658,681.71
  5. Step 5: Solve for x
    x = 359,658,681.71/30,142.04
  6. Step 6: Final answer
    x = 11,932.13

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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.