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Finding the Fourth Proportional to 16,897.60, 23,315.04 and 9,820.40

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Solution

The fourth proportional to 16,897.60, 23,315.04 and 9,820.40 is: 13,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897.60 : 23,315.04 = 9,820.40 : x
  2. Step 2: Convert to fraction form
    16,897.60/23,315.04 = 9,820.40/x
  3. Step 3: Cross multiply
    16,897.60x = 23,315.04 × 9,820.40
  4. Step 4: Simplify right side
    16,897.60x = 228,963,018.82
  5. Step 5: Solve for x
    x = 228,963,018.82/16,897.60
  6. Step 6: Final answer
    x = 13,550.03

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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.