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Finding the Fourth Proportional to 12,030.15, 16,602.45 and 7,838.40

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Solution

The fourth proportional to 12,030.15, 16,602.45 and 7,838.40 is: 10,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.15 : 16,602.45 = 7,838.40 : x
  2. Step 2: Convert to fraction form
    12,030.15/16,602.45 = 7,838.40/x
  3. Step 3: Cross multiply
    12,030.15x = 16,602.45 × 7,838.40
  4. Step 4: Simplify right side
    12,030.15x = 130,136,644.08
  5. Step 5: Solve for x
    x = 130,136,644.08/12,030.15
  6. Step 6: Final answer
    x = 10,817.54

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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.