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Finding the Fourth Proportional to 14,570.90, 21,856.35 and 9,905.30

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Solution

The fourth proportional to 14,570.90, 21,856.35 and 9,905.30 is: 14,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.90 : 21,856.35 = 9,905.30 : x
  2. Step 2: Convert to fraction form
    14,570.90/21,856.35 = 9,905.30/x
  3. Step 3: Cross multiply
    14,570.90x = 21,856.35 × 9,905.30
  4. Step 4: Simplify right side
    14,570.90x = 216,493,703.66
  5. Step 5: Solve for x
    x = 216,493,703.66/14,570.90
  6. Step 6: Final answer
    x = 14,857.95

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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.