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Finding the Fourth Proportional to 9,985.30, 14,951.55 and 8,001.70

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Solution

The fourth proportional to 9,985.30, 14,951.55 and 8,001.70 is: 11,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.30 : 14,951.55 = 8,001.70 : x
  2. Step 2: Convert to fraction form
    9,985.30/14,951.55 = 8,001.70/x
  3. Step 3: Cross multiply
    9,985.30x = 14,951.55 × 8,001.70
  4. Step 4: Simplify right side
    9,985.30x = 119,637,817.64
  5. Step 5: Solve for x
    x = 119,637,817.64/9,985.30
  6. Step 6: Final answer
    x = 11,981.39

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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.