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Finding the Fourth Proportional to 22,506, 31,058.28 and 12,570

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Solution

The fourth proportional to 22,506, 31,058.28 and 12,570 is: 17,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506 : 31,058.28 = 12,570 : x
  2. Step 2: Convert to fraction form
    22,506/31,058.28 = 12,570/x
  3. Step 3: Cross multiply
    22,506x = 31,058.28 × 12,570
  4. Step 4: Simplify right side
    22,506x = 390,402,579.60
  5. Step 5: Solve for x
    x = 390,402,579.60/22,506
  6. Step 6: Final answer
    x = 17,346.60

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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.