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Finding the Fourth Proportional to 9,862.40, 13,605 and 6,675.80

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Solution

The fourth proportional to 9,862.40, 13,605 and 6,675.80 is: 9,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.40 : 13,605 = 6,675.80 : x
  2. Step 2: Convert to fraction form
    9,862.40/13,605 = 6,675.80/x
  3. Step 3: Cross multiply
    9,862.40x = 13,605 × 6,675.80
  4. Step 4: Simplify right side
    9,862.40x = 90,824,259
  5. Step 5: Solve for x
    x = 90,824,259/9,862.40
  6. Step 6: Final answer
    x = 9,209.14

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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.