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Finding the Fourth Proportional to 9,970.78, 14,838.47 and 9,638.58

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Solution

The fourth proportional to 9,970.78, 14,838.47 and 9,638.58 is: 14,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.78 : 14,838.47 = 9,638.58 : x
  2. Step 2: Convert to fraction form
    9,970.78/14,838.47 = 9,638.58/x
  3. Step 3: Cross multiply
    9,970.78x = 14,838.47 × 9,638.58
  4. Step 4: Simplify right side
    9,970.78x = 143,021,780.17
  5. Step 5: Solve for x
    x = 143,021,780.17/9,970.78
  6. Step 6: Final answer
    x = 14,344.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.