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Finding the Fourth Proportional to 12,904.70, 17,810.08 and 7,870.46

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Solution

The fourth proportional to 12,904.70, 17,810.08 and 7,870.46 is: 10,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.70 : 17,810.08 = 7,870.46 : x
  2. Step 2: Convert to fraction form
    12,904.70/17,810.08 = 7,870.46/x
  3. Step 3: Cross multiply
    12,904.70x = 17,810.08 × 7,870.46
  4. Step 4: Simplify right side
    12,904.70x = 140,173,522.24
  5. Step 5: Solve for x
    x = 140,173,522.24/12,904.70
  6. Step 6: Final answer
    x = 10,862.21

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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.