Home / 1,564.80-2,159.16-975.52

Finding the Fourth Proportional to 1,564.80, 2,159.16 and 975.52

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Solution

The fourth proportional to 1,564.80, 2,159.16 and 975.52 is: 1,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.80 : 2,159.16 = 975.52 : x
  2. Step 2: Convert to fraction form
    1,564.80/2,159.16 = 975.52/x
  3. Step 3: Cross multiply
    1,564.80x = 2,159.16 × 975.52
  4. Step 4: Simplify right side
    1,564.80x = 2,106,303.76
  5. Step 5: Solve for x
    x = 2,106,303.76/1,564.80
  6. Step 6: Final answer
    x = 1,346.05

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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.