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Finding the Fourth Proportional to 34,434, 51,659.64 and 9,810

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Solution

The fourth proportional to 34,434, 51,659.64 and 9,810 is: 14,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434 : 51,659.64 = 9,810 : x
  2. Step 2: Convert to fraction form
    34,434/51,659.64 = 9,810/x
  3. Step 3: Cross multiply
    34,434x = 51,659.64 × 9,810
  4. Step 4: Simplify right side
    34,434x = 506,781,068.40
  5. Step 5: Solve for x
    x = 506,781,068.40/34,434
  6. Step 6: Final answer
    x = 14,717.46

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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.