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Finding the Fourth Proportional to 12,842.94, 19,259.55 and 5,047.50

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Solution

The fourth proportional to 12,842.94, 19,259.55 and 5,047.50 is: 7,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.94 : 19,259.55 = 5,047.50 : x
  2. Step 2: Convert to fraction form
    12,842.94/19,259.55 = 5,047.50/x
  3. Step 3: Cross multiply
    12,842.94x = 19,259.55 × 5,047.50
  4. Step 4: Simplify right side
    12,842.94x = 97,212,578.63
  5. Step 5: Solve for x
    x = 97,212,578.63/12,842.94
  6. Step 6: Final answer
    x = 7,569.34

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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.