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Finding the Fourth Proportional to 21,062.63, 31,603.16 and 9,977.24

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Solution

The fourth proportional to 21,062.63, 31,603.16 and 9,977.24 is: 14,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062.63 : 31,603.16 = 9,977.24 : x
  2. Step 2: Convert to fraction form
    21,062.63/31,603.16 = 9,977.24/x
  3. Step 3: Cross multiply
    21,062.63x = 31,603.16 × 9,977.24
  4. Step 4: Simplify right side
    21,062.63x = 315,312,179.01
  5. Step 5: Solve for x
    x = 315,312,179.01/21,062.63
  6. Step 6: Final answer
    x = 14,970.22

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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.