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Finding the Fourth Proportional to 19,970.24, 29,955.04 and 7,658.24

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Solution

The fourth proportional to 19,970.24, 29,955.04 and 7,658.24 is: 11,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.24 : 29,955.04 = 7,658.24 : x
  2. Step 2: Convert to fraction form
    19,970.24/29,955.04 = 7,658.24/x
  3. Step 3: Cross multiply
    19,970.24x = 29,955.04 × 7,658.24
  4. Step 4: Simplify right side
    19,970.24x = 229,402,885.53
  5. Step 5: Solve for x
    x = 229,402,885.53/19,970.24
  6. Step 6: Final answer
    x = 11,487.24

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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.