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Finding the Fourth Proportional to 9,510.80, 13,097.88 and 9,307.28

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Solution

The fourth proportional to 9,510.80, 13,097.88 and 9,307.28 is: 12,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.80 : 13,097.88 = 9,307.28 : x
  2. Step 2: Convert to fraction form
    9,510.80/13,097.88 = 9,307.28/x
  3. Step 3: Cross multiply
    9,510.80x = 13,097.88 × 9,307.28
  4. Step 4: Simplify right side
    9,510.80x = 121,905,636.57
  5. Step 5: Solve for x
    x = 121,905,636.57/9,510.80
  6. Step 6: Final answer
    x = 12,817.60

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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.