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Finding the Fourth Proportional to 9,615.64, 13,264.86 and 7,487.40

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Solution

The fourth proportional to 9,615.64, 13,264.86 and 7,487.40 is: 10,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.64 : 13,264.86 = 7,487.40 : x
  2. Step 2: Convert to fraction form
    9,615.64/13,264.86 = 7,487.40/x
  3. Step 3: Cross multiply
    9,615.64x = 13,264.86 × 7,487.40
  4. Step 4: Simplify right side
    9,615.64x = 99,319,312.76
  5. Step 5: Solve for x
    x = 99,319,312.76/9,615.64
  6. Step 6: Final answer
    x = 10,328.93

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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.