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Finding the Fourth Proportional to 21,970.04, 32,945.10 and 9,484.20

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Solution

The fourth proportional to 21,970.04, 32,945.10 and 9,484.20 is: 14,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.04 : 32,945.10 = 9,484.20 : x
  2. Step 2: Convert to fraction form
    21,970.04/32,945.10 = 9,484.20/x
  3. Step 3: Cross multiply
    21,970.04x = 32,945.10 × 9,484.20
  4. Step 4: Simplify right side
    21,970.04x = 312,457,917.42
  5. Step 5: Solve for x
    x = 312,457,917.42/21,970.04
  6. Step 6: Final answer
    x = 14,222.00

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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.