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Finding the Fourth Proportional to 22,347.50, 30,840.15 and 12,656.19

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Solution

The fourth proportional to 22,347.50, 30,840.15 and 12,656.19 is: 17,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.50 : 30,840.15 = 12,656.19 : x
  2. Step 2: Convert to fraction form
    22,347.50/30,840.15 = 12,656.19/x
  3. Step 3: Cross multiply
    22,347.50x = 30,840.15 × 12,656.19
  4. Step 4: Simplify right side
    22,347.50x = 390,318,798.03
  5. Step 5: Solve for x
    x = 390,318,798.03/22,347.50
  6. Step 6: Final answer
    x = 17,465.88

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1.5x scale

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.