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Finding the Fourth Proportional to 34,389, 47,457.54 and 19,485

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Solution

The fourth proportional to 34,389, 47,457.54 and 19,485 is: 26,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,389 : 47,457.54 = 19,485 : x
  2. Step 2: Convert to fraction form
    34,389/47,457.54 = 19,485/x
  3. Step 3: Cross multiply
    34,389x = 47,457.54 × 19,485
  4. Step 4: Simplify right side
    34,389x = 924,710,166.90
  5. Step 5: Solve for x
    x = 924,710,166.90/34,389
  6. Step 6: Final answer
    x = 26,889.71

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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.